¥Ð¥ñ¥ï¥ë¥å¥ã¥ï¥ì¥å¥í¥á ¥ò¥å ¥ì¥é¥á ¥Â¥é¥ï¥ë¥ï¥ã¥é¥ê¥ç ¥È¥å¥ø¥ñ¥é¥á ¥ó¥çς ¥Ò¥ô¥í¥å¥é¥ä¥ç¥ò¥çς.

¥Ã¥ô¥ñ¥ïς ¥Ó¥ñ¥é¥ó¥ïς (¥É¥ï¥ô¥ë¥é¥ïς 2005)

¥Á¥Í¥Ó¥Ø¥Í¥Ç¥Ò ¥Ì¥Ï¥Ò¥Ö¥Ï¥Â¥Á¥Ê¥Ç¥Ò[1]

 

  1. ¥Ó¥é ¥å¥é¥í¥á¥é ¥ç ¥ò¥ô¥í¥å¥é¥ä¥ç¥ò¥ç: ¥Ó¥á ¥è¥å¥ì¥á¥ó¥á ¥ð¥ï¥ô ¥á¥ð¥á¥ò¥ö¥ï¥ë¥ç¥ò¥á¥í ¥ó¥ï¥ôς ¥å¥é¥ò¥ç¥ã¥ç¥ó¥åς ¥ò¥ó¥ï ¥ð¥ñ¥ï¥ò¥õ¥á¥ó¥ï ¥ó¥ñ¥é¥ó¥ï ¥ã¥ô¥ñ¥ï ¥ó¥ø¥í ¥ò¥ô¥æ¥ç¥ó¥ç¥ò¥å¥ø¥í ¥ì¥áς ¥ã¥é¥á ¥ó¥ç ¥ò¥ô¥í¥å¥é¥ä¥ç¥ò¥ç ¥ä¥å¥é¥ö¥í¥ï¥ô¥í ¥ï¥ó¥é ¥ê¥ñ¥é¥ò¥é¥ì¥åς ¥å¥ê¥õ¥á¥í¥ò¥å¥éς ¥ó¥çς ¥á¥ð¥ï¥ó¥å¥ë¥ï¥ô¥í ¥ó¥á ¥å¥î¥çς: (1) ¥Å¥ð¥é¥ã¥í¥ø¥ò¥ç (awareness), (2) ¥Á¥ô¥ó¥ï¥ã¥í¥ø¥ò¥é¥á (self-awareness), (3) ¥Ð¥ï¥é¥ï¥ó¥ç¥ó¥åς ¥â¥é¥ø¥ì¥á¥ó¥ø¥í (Qualia). ¥Ê¥á¥è¥å ¥ï¥ñ¥é¥ò¥ó¥é¥ê¥ç ¥â¥é¥ï¥ë¥ï¥ã¥é¥ê¥ç ¥è¥å¥ø¥ñ¥é¥á ¥ó¥çς ¥ò¥ô¥í¥å¥é¥ä¥ç¥ò¥çς ¥è¥á ¥ð¥ñ¥å¥ð¥å¥é ¥í¥á ¥å¥î¥ç¥ã¥ç¥ò¥å¥é ¥ê¥á¥é ¥ó¥á 3 ¥á¥ô¥ó¥á ¥õ¥á¥é¥í¥ï¥ì¥å¥í¥á ¥ì¥å ¥ï¥ñ¥ï¥ôς ¥ð¥ï¥ô ¥á¥õ¥ï¥ñ¥ï¥ô¥í ¥ó¥ï ¥í¥å¥ô¥ñ¥é¥ê¥ï ¥ò¥ô¥ò¥ó¥ç¥ì¥á ¥ó¥ø¥í ¥ï¥í¥ó¥ø¥í ¥ð¥ï¥ô ¥ó¥á ¥å¥ì¥õ¥á¥í¥é¥æ¥ï¥ô¥í. ¥Ó¥ï ¥ð¥å¥ñ¥é¥å¥ö¥ï¥ì¥å¥í¥ï ¥ð¥ï¥ë¥ë¥ø¥í ¥á¥ð¥ï ¥ó¥éς ¥å¥é¥ò¥ç¥ã¥ç¥ò¥å¥éς ¥ä¥å¥é¥ö¥í¥å¥é ¥ï¥ó¥é ¥á¥ô¥ó¥ïς ¥ï ¥ò¥ó¥ï¥ö¥ïς ¥å¥ö¥å¥é ¥å¥ð¥é¥ó¥å¥ô¥ö¥è¥å¥é ¥ç ¥ä¥å¥í ¥á¥ð¥å¥ö¥å¥é ¥ð¥ï¥ë¥ô ¥á¥ð¥ï ¥ó¥ï ¥í¥á ¥å¥ð¥é¥ó¥å¥ô¥ö¥è¥å¥é ¥ã¥é¥á ¥ó¥á 1 ¥ê¥á¥é 3 ¥ê¥á¥é ¥á¥ð¥ï¥ì¥å¥í¥å¥é ¥í¥á ¥å¥ð¥é¥ó¥å¥ô¥ö¥è¥å¥é ¥ã¥é¥á ¥ó¥ï 2.

 

  1. ¥Å¥ð¥é¥ã¥í¥ø¥ò¥ç: ¥Ò¥ó¥ç¥í ¥å¥é¥ò¥ç¥ã¥ç¥ò¥ç ¥ó¥çς ¥ç ¥Ò¥ê¥á¥ë¥é¥ø¥ñ¥á ¥ð¥å¥ñ¥é¥å¥ã¥ñ¥á¥÷¥å ¥ð¥å¥é¥ñ¥á¥ì¥á¥ó¥á ¥ó¥ø¥í Celebrini ¥ê¥á¥é Newsome[2]. ¥Ò¥ô¥í¥ï¥ð¥ó¥é¥ê¥á, ¥ó¥á ¥ô¥ð¥ï¥ê¥å¥é¥ì¥å¥í¥á ¥ó¥å¥ó¥ï¥é¥ø¥í ¥ð¥å¥é¥ñ¥á¥ì¥á¥ó¥ø¥í ¥å¥ê¥ó¥é¥è¥å¥í¥ó¥á¥é ¥ò¥å ¥å¥ñ¥å¥è¥é¥ò¥ì¥á¥ó¥á ¥ð¥ï¥ô ¥á¥ð¥á¥ñ¥ó¥é¥æ¥ï¥í¥ó¥á¥é ¥á¥ð¥ï ¥í¥å¥õ¥ïς ¥õ¥ø¥ó¥å¥é¥í¥ø¥í ¥ê¥ç¥ë¥é¥ä¥ø¥í ¥ê¥á¥è¥å ¥ì¥é¥á ¥á¥ð¥ï ¥ó¥éς ¥ï¥ð¥ï¥é¥åς ¥ì¥ð¥ï¥ñ¥å¥é ¥í¥á ¥ê¥é¥í¥å¥é¥ó¥á¥é ¥ò¥å ¥ä¥é¥á¥õ¥ï¥ñ¥å¥ó¥é¥ê¥ç ¥ê¥á¥ó¥å¥ô¥è¥ô¥í¥ò¥ç. ¥Ï ¥å¥ñ¥å¥ô¥í¥ç¥ó¥çς ¥ê¥á¥è¥é¥ò¥ó¥á ¥ó¥ç¥í ¥á¥í¥ó¥é¥ë¥ç¥ð¥ó¥é¥ê¥ç ¥å¥ì¥ð¥å¥é¥ñ¥é¥á ¥ë¥é¥ã¥ï¥ó¥å¥ñ¥ï ¥ç ¥ð¥å¥ñ¥é¥ò¥ò¥ï¥ó¥å¥ñ¥ï ¥å¥í¥ó¥ï¥í¥ç (¥ê¥á¥é ¥ó¥ç¥í ¥á¥ò¥ê¥ç¥ò¥ç ¥ë¥é¥ã¥ï¥ó¥å¥ñ¥ï ¥ç ¥ð¥å¥ñ¥é¥ò¥ò¥ï¥ó¥å¥ñ¥ï ¥ä¥ô¥ò¥ê¥ï¥ë¥ç) ¥á¥í¥á¥ë¥ï¥ã¥á ¥ì¥å ¥ó¥ï ¥ð¥ï¥ò¥ï¥ò¥ó¥ï ¥ó¥ø¥í ¥ò¥ç¥ì¥å¥é¥ø¥í ¥ð¥ï¥ô ¥á¥õ¥ç¥í¥å¥é ¥í¥á ¥ê¥é¥í¥ç¥è¥ï¥ô¥í ¥ì¥å ¥ï¥ì¥ï¥é¥ï ¥ó¥ñ¥ï¥ð¥ï ¥ð¥ñ¥ïς ¥ó¥ç¥í ¥é¥ä¥é¥á ¥ê¥á¥ó¥å¥ô¥è¥ô¥í¥ò¥ç (¥ò¥ô¥ì¥ð¥á¥ã¥çς ¥ê¥é¥í¥ç¥ò¥ç). ¥Ó¥ï ¥ô¥ð¥ï¥ê¥å¥é¥ì¥å¥í¥ï (¥á¥í¥è¥ñ¥ø¥ð¥ïς ¥ç ¥ð¥é¥è¥ç¥ê¥ïς) ¥ä¥ç¥ë¥ø¥í¥å¥é (¥ð¥é¥å¥æ¥ï¥í¥ó¥áς ¥å¥í¥á ¥á¥ð¥ï ¥ä¥ô¥ï ¥ð¥ë¥ç¥ê¥ó¥ñ¥á) ¥á¥í ¥ç ¥ê¥é¥í¥ç¥ò¥ç ¥å¥é¥í¥á¥é ¥ä¥å¥î¥é¥ï¥ò¥ó¥ñ¥ï¥õ¥ç ¥ç ¥á¥ñ¥é¥ò¥ó¥å¥ñ¥ï¥ò¥ó¥ñ¥ï¥õ¥ç. ¥Å¥é¥í¥á¥é ¥ã¥í¥ø¥ò¥ó¥ï ¥ï¥ó¥é ¥ç ¥ð¥å¥ñ¥é¥ï¥ö¥ç MST ¥ó¥ï¥ô ¥å¥ã¥ê¥å¥õ¥á¥ë¥ï¥ô ¥ä¥é¥á¥è¥å¥ó¥å¥é ¥í¥å¥ô¥ñ¥ø¥í¥åς ¥å¥ô¥á¥é¥ò¥è¥ç¥ó¥ï¥ôς ¥ò¥ó¥ï ¥á¥í¥ô¥ò¥ì¥á ¥ó¥çς ¥ó¥á¥ö¥ô¥ó¥ç¥ó¥áς ¥ï¥ð¥ó¥é¥ê¥ø¥í ¥å¥ñ¥å¥è¥é¥ò¥ì¥á¥ó¥ø¥í ¥å¥ó¥ò¥é ¥ø¥ò¥ó¥å ¥ê¥ô¥ó¥ó¥á¥ñ¥á ¥ð¥ï¥ô ¥ð¥ñ¥ï¥ó¥é¥ì¥ï¥ô¥í ¥á¥í¥ô¥ò¥ì¥á¥ó¥á ¥ì¥å ¥ð¥á¥ñ¥ï¥ì¥ï¥é¥á ¥ê¥á¥ó¥å¥ô¥è¥ô¥í¥ò¥ç ¥í¥á ¥á¥ð¥á¥í¥ó¥ø¥í¥ó¥á¥é ¥ò¥å ¥ã¥å¥é¥ó¥ï¥í¥é¥ê¥åς ¥è¥å¥ò¥å¥éς. ¥Ö¥ñ¥ç¥ò¥é¥ì¥ï¥ð¥ï¥é¥ø¥í¥ó¥áς ¥ç¥ë¥å¥ê¥ó¥ñ¥é¥ê¥ï ¥ì¥é¥ê¥ñ¥ï¥å¥ñ¥å¥è¥é¥ò¥ì¥ï, ¥Ï Celebrini ¥ê¥á¥é ¥ï Newsome ¥å¥ä¥å¥é¥î¥á¥í (1) ¥ã¥í¥ø¥ò¥ç ¥ó¥çς ¥ä¥ñ¥á¥ò¥ó¥ç¥ñ¥é¥ï¥ó¥ç¥ó¥áς ¥ê¥ô¥ó¥ó¥á¥ñ¥ø¥í ¥ó¥çς MST ¥á¥ñ¥ê¥å¥é ¥ã¥é¥á ¥í¥á ¥ð¥ñ¥ï¥â¥ë¥å¥÷¥å¥é ¥ê¥á¥í¥å¥éς ¥ó¥ç¥í ¥á¥í¥ó¥é¥ë¥ç¥ð¥ó¥é¥ê¥ç ¥å¥ì¥ð¥å¥é¥ñ¥é¥á ¥ó¥ï¥ô ¥ô¥ð¥ï¥ê¥å¥é¥ì¥å¥í¥ï¥ô, ¥ê¥á¥é (2) ¥ä¥é¥ï¥ö¥å¥ó¥å¥ô¥ò¥ç ¥ç¥ë¥å¥ê¥ó¥ñ¥é¥ê¥ï¥ô ¥ñ¥å¥ô¥ì¥á¥ó¥ïς ¥ì¥å¥ò¥á ¥á¥ð¥ï ¥ó¥ï ¥é¥ä¥é¥ï ¥ç¥ë¥å¥ê¥ó¥ñ¥ï¥ä¥é¥ï ¥ê¥á¥è¥ï¥ñ¥é¥æ¥å¥é ¥ó¥ç¥í ¥á¥í¥ó¥é¥ë¥ç¥ð¥ó¥é¥ê¥ç ¥å¥ì¥ð¥å¥é¥ñ¥é¥á ¥ó¥ï¥ô ¥ô¥ð¥ï¥ê¥å¥é¥ì¥å¥í¥ï¥ô ¥ì¥å ¥ó¥ç¥í ¥å¥í¥í¥ï¥é¥á ¥ï¥ó¥é ¥ç ¥ä¥ç¥ë¥ø¥ò¥ç ¥ó¥ï¥ôς ¥ó¥á¥é¥ñ¥é¥á¥æ¥å¥é ¥ì¥å ¥ó¥ç¥í ¥ê¥á¥ó¥å¥ô¥è¥ô¥í¥ò¥ç ¥ó¥çς ¥ê¥é¥í¥ç¥ò¥çς ¥ð¥ï¥ô ¥ð¥ñ¥ï¥ó¥é¥ì¥ï¥ô¥í ¥ó¥á ¥ê¥ô¥ó¥ó¥á¥ñ¥á ¥ð¥ï¥ô ¥ã¥å¥é¥ó¥í¥é¥á¥æ¥ï¥ô¥í ¥ì¥å ¥ó¥ï ¥ç¥ë¥å¥ê¥ó¥ñ¥ï¥ä¥é¥ï. ¥Ò¥ô¥ì¥õ¥ø¥í¥ø ¥ì¥å ¥ó¥ï¥í ¥é¥ò¥ö¥ô¥ñ¥é¥ò¥ì¥ï ¥ó¥çς ¥Ò¥ê¥á¥ë¥é¥ø¥ñ¥á ¥ï¥ó¥é ¥ó¥á ¥ð¥å¥é¥ñ¥á¥ì¥á¥ó¥á ¥á¥ô¥ó¥á ¥ä¥å¥é¥ö¥í¥ï¥ô¥í ¥ï¥ó¥é ¥ä¥ñ¥á¥ò¥ó¥ç¥ñ¥é¥ï¥ð¥ï¥é¥ç¥ò¥ç ¥ó¥çς ¥ð¥å¥ñ¥é¥ï¥ö¥çς MST ¥á¥ñ¥ê¥å¥é (¥å¥é¥í¥á¥é ¥é¥ê¥á¥í¥ç) ¥ã¥é¥á ¥í¥á ¥ê¥á¥è¥ï¥ñ¥é¥ò¥ó¥å¥é ¥ç ¥á¥í¥ó¥é¥ë¥ç¥ð¥ó¥é¥ê¥ç ¥å¥ì¥ð¥å¥é¥ñ¥é¥á ¥ó¥çς ¥ê¥é¥í¥ç¥ò¥çς ¥ï¥ð¥ó¥é¥ê¥ï¥ô ¥å¥ñ¥å¥è¥é¥ò¥ì¥á¥ó¥ïς ¥ê¥á¥é ¥í¥á ¥á¥ð¥ï¥ê¥ó¥ç¥ò¥å¥é ¥ó¥ï ¥ô¥ð¥ï¥ê¥å¥é¥ì¥å¥í¥ï ¥å¥ð¥é¥ã¥í¥ø¥ò¥ç ¥ó¥ï¥ô ¥ã¥å¥ã¥ï¥í¥ï¥ó¥ïς. ¥Ç ¥â¥é¥â¥ë¥é¥ï¥ã¥ñ¥á¥õ¥é¥á ¥å¥ð¥é¥ò¥çς ¥ð¥á¥ñ¥å¥ö¥å¥é ¥ð¥å¥ñ¥é¥ã¥ñ¥á¥õ¥åς ¥ð¥å¥é¥ñ¥á¥ì¥á¥ó¥ø¥í ¥ð¥ï¥ô ¥ä¥å¥é¥ö¥í¥ï¥ô¥í ¥ï¥ó¥é ¥ð¥å¥ñ¥é¥ð¥ï¥ô ¥ï¥é ¥é¥ä¥é¥åς ¥ð¥å¥ñ¥é¥ï¥ö¥åς ¥å¥é¥í¥á¥é ¥á¥í¥á¥ã¥ê¥á¥é¥åς ¥ã¥é¥á ¥ó¥ç ¥ã¥å¥í¥å¥ò¥ç ¥ó¥ï¥ô ¥é¥ä¥é¥ï¥ô ¥â¥é¥ø¥ì¥á¥ó¥ïς ¥á¥ë¥ë¥á ¥ä¥å¥í ¥ö¥ñ¥å¥é¥á¥æ¥å¥ó¥á¥é ¥í¥á ¥á¥í¥á¥õ¥å¥ñ¥è¥ø ¥ò¥å ¥á¥ô¥ó¥åς ¥ä¥å¥ä¥ï¥ì¥å¥í¥ï¥ô ¥ï¥ó¥é ¥á¥ñ¥ê¥å¥ó¥ï¥é ¥á¥ð¥ï ¥ó¥ï¥ôς ¥ò¥ô¥í¥ï¥ì¥é¥ë¥ç¥ó¥åς ¥ì¥áς (¥ð.¥ö., ¥Ð¥á¥ð¥á¥í¥é¥ê¥ï¥ë¥á¥ï¥ô, ¥Ê¥å¥ñ¥á¥ò¥é¥ä¥çς, ¥ê.¥á.) ¥å¥ö¥ï¥ô¥í ¥ç¥ä¥ç ¥á¥ð¥ï¥ä¥å¥ö¥è¥å¥é ¥ï¥ó¥é ¥ï ¥å¥ã¥ê¥å¥õ¥á¥ë¥ïς ¥å¥é¥í¥á¥é ¥á¥í¥á¥ã¥ê¥á¥é¥ïς ¥ã¥é¥á ¥í¥á ¥ð¥á¥ñ¥á¥ö¥è¥å¥é ¥ò¥ô¥í¥å¥é¥ä¥ç¥ò¥ç. ¥Å¥î ¥á¥ô¥ó¥ø¥í, ¥ê¥á¥ó¥á¥ë¥ç¥ã¥ø ¥ò¥ó¥ï ¥ò¥ô¥ì¥ð¥å¥ñ¥á¥ò¥ì¥á ¥ï¥ó¥é ¥ì¥é¥á ¥ð¥å¥ñ¥é¥ï¥ö¥ç ¥ó¥ï¥ô ¥å¥ã¥ê¥å¥õ¥á¥ë¥ï¥ô (¥å¥í ¥ð¥ñ¥ï¥ê¥å¥é¥ì¥å¥í¥ø, ¥ç MST) ¥å¥ì¥ð¥ë¥å¥ê¥å¥ó¥á¥é ¥á¥é¥ó¥é¥á¥ê¥á ¥ò¥ó¥ç ¥ã¥å¥í¥å¥ò¥ç ¥ì¥é¥áς ¥ò¥ô¥í¥å¥é¥ä¥ç¥ó¥çς ¥å¥ì¥ð¥å¥é¥ñ¥é¥áς (¥å¥ð¥é¥ã¥í¥ø¥ò¥ç ¥ó¥çς ¥ê¥é¥í¥ç¥ò¥çς ¥ï¥ð¥ó¥é¥ê¥ï¥ô ¥å¥ñ¥å¥è¥é¥ò¥ì¥á¥ó¥ïς ¥ð¥ñ¥ïς ¥ó¥á ¥ä¥å¥î¥é¥á ¥ç ¥ð¥ñ¥ïς ¥ó¥á ¥á¥ñ¥é¥ò¥ó¥å¥ñ¥á). ¥Ã¥é¥á ¥í¥á ¥á¥ê¥ô¥ñ¥ø¥è¥å¥é ¥ó¥ï ¥ò¥ô¥ì¥ð¥å¥ñ¥á¥ò¥ì¥á ¥á¥ô¥ó¥ï ¥ð¥ñ¥å¥ð¥å¥é ¥í¥á ¥ä¥å¥é¥ö¥è¥å¥é ¥å¥í¥á ¥á¥ð¥ï ¥ó¥á ¥å¥î¥çς: 1) ¥Ó¥ï ¥øς ¥á¥í¥ø ¥ò¥ô¥ì¥ð¥å¥ñ¥á¥ò¥ì¥á ¥ä¥å¥í ¥ð¥ñ¥ï¥ê¥ô¥ð¥ó¥å¥é ¥á¥ð¥ï ¥ó¥éς ¥ð¥ñ¥ï¥ê¥å¥é¥ì¥å¥í¥åς. 2) ¥Ó¥ï ¥õ¥á¥é¥í¥ï¥ì¥å¥í¥ï «¥å¥ð¥é¥ã¥í¥ø¥ò¥ç» ¥ä¥å¥í ¥á¥ð¥ï¥ó¥å¥ë¥å¥é ¥å¥ê¥õ¥á¥í¥ò¥ç ¥ó¥çς ¥ò¥ô¥í¥å¥é¥ä¥ç¥ò¥çς.

        

  1. ¥Á¥ô¥ó¥ï¥ã¥í¥ø¥ò¥é¥á: ¥Ð¥å¥ñ¥é¥ë¥á¥ì¥â¥á¥í¥å¥é ¥ó¥ç¥í ¥å¥ð¥é¥ã¥í¥ø¥ò¥ç ¥ó¥ø¥í ¥í¥ï¥ç¥ó¥é¥ê¥ø¥í ¥ì¥áς ¥ê¥á¥ó¥á¥ò¥ó¥á¥ò¥å¥ø¥í, ¥ó¥ç¥í ¥á¥ð¥ï¥ä¥ï¥ò¥ç ¥ð¥é¥ò¥ó¥çς ¥ò¥å ¥á¥ë¥ë¥ï¥ôς, ¥ê.¥á. ¥Á¥ô¥ó¥ï ¥ê¥á¥ó¥á¥ë¥á¥â¥á¥é¥í¥ø ¥ï¥ó¥é ¥å¥í¥í¥ï¥å¥é ¥ï ¥Ê¥ï¥ô¥â¥å¥ë¥áς ¥ì¥å ¥ó¥ï¥í ¥ï¥ñ¥ï ¥ò¥ô¥í¥å¥é¥ä¥ç¥ò¥ç ¥á¥í¥ø¥ó¥å¥ñ¥çς ¥ó¥á¥î¥çς. ¥Ä¥å¥ä¥ï¥ì¥å¥í¥ï¥ô ¥ï¥ó¥é ¥ð¥å¥ñ¥é¥ë¥á¥ì¥â¥á¥í¥å¥é ¥ó¥ç ¥ê¥á¥ó¥á¥ò¥ê¥å¥ô¥ç ¥ì¥é¥áς «¥é¥ò¥ó¥ï¥ñ¥é¥áς» ¥ò¥ó¥ç¥í ¥ï¥ð¥ï¥é¥á ¥ä¥é¥á¥ä¥ñ¥á¥ì¥á¥ó¥é¥æ¥ï¥ô¥ì¥å ¥ð¥ñ¥ø¥ó¥á¥ã¥ø¥í¥é¥ò¥ó¥é¥ê¥ï ¥ñ¥ï¥ë¥ï, ¥ç ¥ö¥ñ¥ç¥ò¥ç ¥ó¥ø¥í ¥ã¥ë¥ø¥ò¥ò¥é¥ê¥ø¥í ¥ä¥é¥å¥ñ¥ã¥á¥ò¥é¥ø¥í ¥ð¥ï¥ô ¥å¥ð¥å¥ò¥ç¥ì¥á¥í¥å ¥ï ¥Ê¥ï¥ô¥â¥å¥ë¥áς ¥å¥é¥í¥á¥é ¥í¥ï¥ì¥é¥æ¥ø ¥å¥ô¥ë¥ï¥ã¥ç. ¥Ø¥ò¥ó¥ï¥ò¥ï ¥á¥ô¥ó¥ï ¥ä¥å¥í ¥á¥ð¥ï¥ê¥ë¥å¥é¥å¥é ¥ê¥á¥é ¥ó¥ç ¥ö¥ñ¥ç¥ò¥ç ¥å¥é¥ê¥ï¥í¥é¥ê¥ø¥í ¥á¥í¥á¥ð¥á¥ñ¥ó¥á¥ò¥ó¥á¥ò¥å¥ø¥í ¥ã¥é¥á ¥ó¥ç ¥í¥ï¥ç¥ì¥á¥ó¥é¥ê¥ç ¥á¥í¥á¥ê¥á¥ó¥á¥ò¥ê¥å¥ô¥ç ¥ó¥çς ¥ò¥ô¥ì¥ì¥å¥ó¥ï¥ö¥çς ¥ì¥áς ¥ò¥ó¥á ¥ä¥ñ¥ø¥ì¥å¥í¥á.

 

  1. Qualia. ¥Ò¥å ¥á¥í¥ó¥é¥è¥å¥ò¥ç ¥ì¥å ¥ó¥ï¥ôς ¥ä¥ô¥ï ¥ð¥ñ¥ø¥ó¥ï¥ôς ¥ã¥ô¥ñ¥ï¥ôς ¥ó¥çς ¥ò¥ô¥æ¥ç¥ó¥ç¥ò¥çς ¥ì¥áς, ¥ä¥å¥í ¥ä¥é¥á¥ó¥ô¥ð¥ø¥è¥ç¥ê¥å ¥ó¥é¥ð¥ï¥ó¥å ¥ò¥ó¥ç¥í ¥ð¥ñ¥ï¥ò¥õ¥á¥ó¥ç ¥ò¥ô¥í¥á¥í¥ó¥ç¥ò¥ç ¥ì¥áς ¥ð¥ï¥ô ¥í¥á ¥ó¥á ¥á¥õ¥ï¥ñ¥á. ¥Ò¥ó¥ï¥ôς ¥ä¥ô¥ï ¥ð¥ñ¥ø¥ó¥ï¥ôς ¥ã¥ô¥ñ¥ï¥ôς ¥é¥ò¥ö¥ô¥ñ¥é¥ò¥ó¥ç¥ê¥á ¥ï¥ó¥é Qualia (¥ç¥ó¥ï¥é, ¥ð¥ï¥é¥ï¥ó¥ç¥ó¥åς ¥ó¥ø¥í ¥â¥é¥ø¥ì¥á¥ó¥ø¥í ¥ì¥áς) ¥å¥î¥ç¥ã¥ï¥ô¥í¥ó¥á¥é ¥ç¥ä¥ç ¥á¥ð¥ï ¥ó¥éς ¥å¥ð¥é¥ò¥ó¥ç¥ì¥åς ¥å¥ê¥å¥é¥í¥åς ¥ð¥ï¥ô ¥ì¥å¥ë¥å¥ó¥ï¥ô¥í ¥ó¥ç ¥ä¥ï¥ì¥ç ¥ê¥á¥é ¥ó¥ç ¥ë¥å¥é¥ó¥ï¥ô¥ñ¥ã¥é¥á ¥ó¥ï¥ô ¥í¥å¥ô¥ñ¥é¥ê¥ï¥ô ¥ì¥áς ¥ò¥ô¥ò¥ó¥ç¥ì¥á¥ó¥ïς (¥ä¥ç¥ë¥á¥ä¥ç ¥ó¥ç ¥Í¥å¥ô¥ñ¥ï¥á¥í¥á¥ó¥ï¥ì¥é¥á ¥ê¥á¥é ¥ó¥ç ¥Í¥å¥ô¥ñ¥ï¥õ¥ô¥ò¥é¥ï¥ë¥ï¥ã¥é¥á). ¥Å¥í¥á ¥á¥ð¥ï ¥ó¥á ¥ð¥á¥ñ¥á¥ä¥å¥é¥ã¥ì¥á¥ó¥á ¥ð¥ï¥ô ¥ö¥ñ¥ç¥ò¥é¥ì¥ï¥ð¥ï¥é¥ç¥ò¥á ¥å¥é¥í¥á¥é ¥ï¥é ¥æ¥ø¥í¥åς ¥ó¥ï¥ô Mach, ¥ä¥ç¥ë¥á¥ä¥ç ¥ç ¥å¥í¥ó¥ô¥ð¥ø¥ò¥ç ¥ð¥ï¥ô ¥å¥ö¥ï¥ô¥ì¥å ¥ï¥ó¥é ¥â¥ë¥å¥ð¥ï¥ô¥ì¥å ¥á¥ë¥ë¥ç¥ë¥ï¥ô¥ö¥é¥á ¥ò¥ê¥ï¥ó¥å¥é¥í¥ø¥í ¥ê¥á¥é ¥õ¥ø¥ó¥å¥é¥í¥ø¥í ¥æ¥ø¥í¥ø¥í ¥å¥í¥è¥å¥í ¥ê¥á¥é ¥å¥ê¥å¥é¥è¥å¥í ¥ó¥ï¥ô ¥ï¥ñ¥é¥ï¥ô ¥á¥í¥á¥ì¥å¥ò¥á ¥ò¥å ¥ì¥é¥á ¥ï¥ì¥ï¥é¥ï¥ã¥å¥í¥øς ¥õ¥ø¥ó¥å¥é¥í¥ç ¥ê¥á¥é ¥ì¥é¥á ¥ï¥ì¥ï¥é¥ï¥ã¥å¥í¥øς ¥ò¥ê¥ï¥ó¥å¥é¥í¥ç ¥å¥ð¥é¥õ¥á¥í¥å¥é¥á. ¥Ó¥ï ¥ã¥å¥ã¥ï¥í¥ïς ¥ï¥ó¥é ¥á¥ô¥ó¥åς ¥á¥ð¥ï¥ó¥å¥ë¥ï¥ô¥í ¥ä¥é¥ê¥ï ¥ì¥áς ¥ô¥ð¥ï¥ê¥å¥é¥ì¥å¥í¥é¥ê¥ï ¥â¥é¥ø¥ì¥á ¥ê¥á¥é ¥ï¥ö¥é ¥ò¥ó¥ï¥é¥ö¥å¥é¥ï ¥ó¥ï¥ô ¥å¥î¥ø¥ó¥å¥ñ¥é¥ê¥ï¥ô ¥ê¥ï¥ò¥ì¥ï¥ô ¥ä¥å¥í ¥á¥ð¥ï¥ó¥å¥ë¥å¥ò¥å ¥å¥ì¥ð¥ï¥ä¥é¥ï ¥ò¥ó¥ç ¥è¥å¥ì¥å¥ë¥é¥ø¥ò¥ç ¥ó¥ï¥ô ¥í¥å¥ô¥ñ¥ï¥õ¥ô¥ò¥é¥ï¥ë¥ï¥ã¥é¥ê¥ï¥ô ¥ó¥ï¥ôς ¥ô¥ð¥ï¥ò¥ó¥ñ¥ø¥ì¥á¥ó¥ïς (¥ð¥ë¥á¥ã¥é¥á ¥á¥í¥á¥ò¥ó¥ï¥ë¥ç ¥ò¥ó¥ç¥í ¥å¥î¥ø ¥ä¥é¥ê¥ó¥ô¥ø¥ó¥ç ¥ò¥ó¥é¥â¥á¥ä¥á ¥ó¥ï¥ô ¥á¥ì¥õ¥é¥â¥ë¥ç¥ò¥ó¥ñ¥ï¥å¥é¥ä¥ç ¥ö¥é¥ó¥ø¥í¥á ¥ó¥ï¥ô ¥ì¥á¥ó¥é¥ï¥ô). ¥É¥ò¥ö¥ô¥ñ¥é¥ò¥ó¥ç¥ê¥á ¥å¥ð¥é¥ò¥çς ¥ï¥ó¥é ¥á¥ë¥ë¥á ¥ö¥á¥ñ¥á¥ê¥ó¥ç¥ñ¥é¥ò¥ó¥é¥ê¥á ¥ð¥ï¥ô ¥á¥ð¥ï¥ä¥é¥ä¥ï¥í¥ó¥á¥é ¥ò¥ó¥á Qualia, ¥å¥é¥í¥á¥é trivial ¥ã¥é¥á ¥ó¥éς ¥Í¥å¥ô¥ñ¥ï¥å¥ð¥é¥ò¥ó¥ç¥ì¥åς ¥ì¥å ¥ó¥ï¥í ¥é¥ä¥é¥ï ¥ó¥ñ¥ï¥ð¥ï ¥ð¥ï¥ô ¥ï¥ñ¥é¥ò¥ì¥å¥í¥á ¥ö¥á¥ñ¥á¥ê¥ó¥ç¥ñ¥é¥ò¥ó¥é¥ê¥á (¥ó¥ø¥í ¥á¥í¥ó¥é¥ê¥å¥é¥ì¥å¥í¥ø¥í ¥ð¥ï¥ô ¥ó¥éς ¥á¥õ¥ï¥ñ¥ï¥ô¥í) ¥å¥é¥í¥á¥é trivial ¥ã¥é¥á ¥á¥ë¥ë¥åς ¥å¥ð¥é¥ò¥ó¥ç¥ì¥åς. ¥Ã¥é¥á ¥ð¥á¥ñ¥á¥ä¥å¥é¥ã¥ì¥á, ¥ò¥å ¥ï,¥ó¥é ¥á¥õ¥ï¥ñ¥á ¥ó¥ç «¥ì¥ï¥í¥á¥ä¥é¥ê¥ï¥ó¥ç¥ó¥á» ¥ð¥ï¥ô ¥ì¥å¥ñ¥é¥ê¥ï¥é ¥á¥ð¥ï¥ä¥é¥ä¥ï¥ô¥í ¥ò¥ó¥á Qualia, ¥ò¥ê¥å¥õ¥ó¥å¥é¥ó¥å ¥ï¥ó¥é ¥ç ¥õ¥ô¥ò¥é¥ê¥ç ¥á¥ò¥ö¥ï¥ë¥å¥é¥ó¥á¥é ¥ì¥å ¥ó¥ï ¥õ¥ï¥ñ¥ó¥é¥ï ¥ó¥ï¥ô ¥ç¥ë¥å¥ê¥ó¥ñ¥ï¥í¥é¥ï¥ô ¥å¥í ¥ã¥å¥í¥å¥é ¥ê¥á¥é ¥ï¥ö¥é ¥ì¥å ¥ó¥ï ¥õ¥ï¥ñ¥ó¥é¥ï ¥ó¥ï¥ô ¥ç¥ë¥å¥ê¥ó¥ñ¥ï¥í¥é¥ï¥ô ¥ì¥å ¥á¥ô¥î¥ï¥í¥ó¥á ¥á¥ñ¥é¥è¥ì¥ï 1284394754786575667585. ¥Ð¥ñ¥å¥ð¥å¥é ¥ï¥é ¥Í¥å¥ô¥ñ¥ï¥å¥ð¥é¥ò¥ó¥ç¥ì¥åς ¥ê¥á¥é ¥ç ¥×¥ô¥ö¥ï¥ë¥ï¥ã¥é¥á ¥í¥á ¥å¥é¥í¥á¥é ¥á¥ë¥ë¥ï¥é¥ø¥ó¥é¥ê¥åς; ¥Å¥ö¥å¥é ¥í¥ï¥ç¥ì¥á ¥ç ¥ê¥á¥ó¥á¥ò¥ê¥å¥ô¥ç ¥ì¥é¥áς ¥å¥ð¥é¥ò¥ó¥ç¥ì¥çς ¥ã¥é¥á ¥ó¥ï¥í ¥Ì¥ï¥ò¥ö¥ï¥â¥á¥ê¥ç (¥ð¥ï¥ô ¥í¥á ¥á¥ò¥ö¥ï¥ë¥å¥é¥ó¥á¥é ¥ä¥ç¥ë¥á¥ä¥ç ¥ì¥å ¥ó¥ï ¥ó¥é ¥í¥ï¥é¥ø¥è¥å¥é ¥ï ¥Ì¥ï¥ò¥ö¥ï¥â¥á¥ê¥çς); ¥Ð¥ñ¥å¥ð¥å¥é ¥í¥á ¥ê¥á¥ó¥á¥ò¥ê¥å¥ô¥á¥ò¥ó¥ï¥ô¥í ¥ì¥é¥á ¥ò¥å¥é¥ñ¥á ¥á¥ð¥ï ¥ó¥å¥ó¥ï¥é¥åς ¥å¥ð¥é¥ò¥ó¥ç¥ì¥åς (¥ì¥é¥á ¥ã¥é¥á ¥ó¥ï¥í ¥ê¥á¥è¡¯¥å¥í¥á ¥á¥ð¥ï ¥ì¥áς) ¥ð¥ñ¥ï¥ê¥å¥é¥ì¥å¥í¥ï¥ô ¥í¥á ¥å¥ö¥ï¥ô¥ì¥å ¥ì¥é¥á ¥â¥é¥ï¥ë¥ï¥ã¥é¥ê¥ç ¥è¥å¥ø¥ñ¥é¥á ¥ó¥çς ¥ò¥ô¥í¥å¥é¥ä¥ç¥ò¥çς; ¥Á¥í ¥ç ¥á¥ð¥á¥í¥ó¥ç¥ò¥ç ¥ò¥áς ¥ò¥å ¥á¥ô¥ó¥åς ¥ó¥éς ¥å¥ñ¥ø¥ó¥ç¥ò¥å¥éς ¥å¥é¥í¥á¥é ¥ê¥á¥ó¥á¥õ¥á¥ó¥é¥ê¥ç ¥è¥á ¥ç¥è¥å¥ë¥á ¥í¥á ¥á¥ê¥ï¥ô¥ò¥ø ¥ð¥å¥ñ¥é¥ò¥ò¥ï¥ó¥å¥ñ¥åς ¥ë¥å¥ð¥ó¥ï¥ì¥å¥ñ¥å¥é¥åς ¥ã¥é¥á ¥ó¥ï ¥å¥ñ¥å¥ô¥í¥ç¥ó¥é¥ê¥ï ¥ð¥ñ¥ï¥ã¥ñ¥á¥ì¥ì¥á ¥ð¥ï¥ô ¥ò¥ö¥å¥ä¥é¥á¥æ¥å¥ó¥å. ¥Á¥í ¥ï¥ì¥øς ¥å¥é¥í¥á¥é ¥á¥ñ¥í¥ç¥ó¥é¥ê¥ç, ¥ó¥ï¥ó¥å ¥è¥á ¥ò¥ô¥ì¥õ¥ø¥í¥ç¥ò¥å¥ó¥å ¥ï¥ó¥é ¥ç ¥å¥ð¥á¥í¥å¥é¥ò¥á¥ã¥ø¥ã¥ç ¥ó¥ï¥ô ¥ï¥ñ¥ï¥ô «¥ì¥ï¥í¥á¥ä¥é¥ê¥ïς» ¥ã¥é¥á ¥í¥á ¥ö¥á¥ñ¥á¥ê¥ó¥ç¥ñ¥é¥ò¥ó¥å¥é ¥ì¥é¥á ¥â¥é¥ø¥ì¥á¥ó¥é¥ê¥ç ¥å¥ì¥ð¥å¥é¥ñ¥é¥á ¥å¥é¥í¥á¥é ¥ê¥ï¥ô¥õ¥é¥á ¥ê¥á¥é ¥ë¥å¥é¥ó¥ï¥ô¥ñ¥ã¥å¥é ¥ì¥ï¥í¥ï ¥ò¥á¥í ¥á¥ð¥ï¥ó¥å¥ë¥å¥ò¥ì¥á ¥ë¥ç¥÷¥çς ¥ó¥ï¥ô ¥æ¥ç¥ó¥ï¥ô¥ì¥å¥í¥ï¥ô ¥ò¥ó¥á ¥ð¥ë¥á¥é¥ò¥é¥á ¥å¥ð¥é¥ö¥å¥é¥ñ¥ç¥ì¥á¥ó¥ïς ¥ó¥çς ¥ì¥ï¥ñ¥õ¥çς:

 

¥ó¥ï ¥â¥é¥ø¥ì¥á ¥ö ¥ó¥ï¥ô ¥ô¥ð¥ï¥ê¥å¥é¥ì¥å¥í¥ï¥ô ¥Á ¥å¥é¥í¥á¥é ¥ì¥ï¥í¥á¥ä¥é¥ê¥ï

¥ç ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ç ¥ä¥å¥í ¥å¥î¥ç¥ã¥å¥é ¥á¥ô¥ó¥ï ¥ó¥ï ¥ì¥ï¥í¥á¥ä¥é¥ê¥ï ¥ö

____________________________________

¥ï¥é ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ï¥í¥é¥ê¥åς ¥å¥î¥ç¥ã¥ç¥ò¥å¥éς ¥ó¥ï¥ô ¥ö ¥ä¥å¥í ¥ì¥ð¥ï¥ñ¥å¥é ¥í¥á ¥å¥é¥í¥á¥é ¥ð¥ë¥ç¥ñ¥å¥éς

 

            ¥Ò¥ó¥ï ¥å¥ð¥é¥ö¥å¥é¥ñ¥ç¥ì¥á ¥á¥ô¥ó¥ï, ¥ç ¥á¥ë¥ç¥è¥å¥é¥á ¥ó¥çς ¥ð¥ñ¥ø¥ó¥çς ¥ð¥ñ¥ï¥ê¥å¥é¥ì¥å¥í¥çς ¥å¥î¥á¥ò¥õ¥á¥ë¥é¥æ¥å¥ó¥á¥é ¥á¥ð¥ï ¥ó¥ç ¥ì¥ï¥í¥á¥ä¥é¥ê¥ï¥ó¥ç¥ó¥á ¥ó¥ï¥ô ¥Á ¥ê¥á¥é ¥ï¥ö¥é ¥ó¥ï¥ô ¥ö ¥ð¥ñ¥á¥ã¥ì¥á ¥ð¥ï¥ô ¥ö¥ñ¥å¥é¥á¥æ¥å¥ó¥á¥é ¥ã¥é¥á ¥í¥á ¥å¥î¥á¥ò¥õ¥á¥ë¥é¥ò¥è¥å¥é ¥ç ¥á¥ë¥ç¥è¥å¥é¥á ¥ó¥çς ¥ä¥å¥ô¥ó¥å¥ñ¥çς ¥ð¥ñ¥ï¥ê¥å¥é¥ì¥å¥í¥çς ¥ê¥á¥é ¥ð¥ï¥ô ¥ì¥ï¥í¥ï ¥ì¥å ¥ë¥ç¥÷¥ç ¥ó¥ï¥ô ¥æ¥ç¥ó¥ï¥ô¥ì¥å¥í¥ï¥ô ¥ì¥ð¥ï¥ñ¥å¥é ¥í¥á ¥è¥å¥ì¥å¥ë¥é¥ø¥è¥å¥é. ¥Á¥ð¥ï ¥ó¥éς ¥ì¥å¥ö¥ñ¥é ¥ó¥ø¥ñ¥á ¥ò¥ô¥æ¥ç¥ó¥ç¥ò¥å¥éς ¥ì¥áς, ¥á¥ë¥ë¥á ¥ê¥á¥é ¥ð¥é¥ï ¥ã¥å¥í¥é¥ê¥á ¥á¥ð¥ï ¥ó¥ç ¥ä¥é¥å¥è¥í¥ç ¥â¥é¥â¥ë¥é¥ï¥ã¥ñ¥á¥õ¥é¥á, ¥ä¥å¥í ¥ê¥á¥ó¥á¥õ¥å¥ñ¥á ¥í¥á ¥á¥í¥á¥ê¥á¥ë¥ô¥÷¥ø ¥ï¥ô¥ó¥å ¥ì¥é¥á ¥ð¥ï¥é¥ï¥ó¥ç¥ó¥á ¥â¥é¥ø¥ì¥á¥ó¥ïς (Quale) ¥ð¥ï¥ô ¥í¥á ¥ì¥ç¥í «¥å¥î¥ç¥ã¥å¥é¥ó¥á¥é» ¥å¥é¥ó¥á¥é ¥å¥ì¥ð¥ë¥å¥ê¥ï¥ì¥å¥í¥ç ¥ò¥å ¥è¥å¥ø¥ñ¥é¥á (¥ï¥ð¥øς ¥ä¥ç¥ë¥á¥ä¥ç ¥å¥î¥ç¥ã¥ï¥ô¥í¥ó¥á¥é ¥ï¥é ¥æ¥ø¥í¥åς ¥ó¥ï¥ô Mach) ¥å¥é¥ó¥á¥é ¥ò¥á¥í ¥ë¥ï¥ã¥é¥ê¥ï ¥ò¥õ¥á¥ë¥ì¥á (¥ï¥ð¥øς ¥ä¥ç¥ë¥á¥ä¥ç ¥ç «¥ì¥ï¥í¥á¥ä¥é¥ê¥ï¥ó¥ç¥ó¥á» ¥ò¥ó¥ç ¥ð¥ñ¥ï¥ç¥ã¥ï¥ô¥ì¥å¥í¥ç ¥ð¥á¥ñ¥á¥ã¥ñ¥á¥õ¥ï). ¥Á¥í ¥ï ¥ó¥ñ¥ï¥ð¥ïς ¥ð¥ï¥ô ¥ê¥á¥ó¥á¥ë¥á¥â¥á¥é¥í¥ø ¥ó¥á Qualia ¥á¥õ¥ç¥í¥å¥é ¥á¥ð¡¯¥å¥î¥ø ¥ê¥á¥ð¥ï¥é¥ï ¥ê¥ñ¥é¥ò¥é¥ì¥ï ¥ò¥ó¥ï¥é¥ö¥å¥é¥ï ¥ó¥ï¥ôς ¥ó¥ï¥ô ¥ï¥ð¥ï¥é¥ï¥ô ¥ç ¥á¥ð¥ï¥ä¥ï¥ö¥ç ¥ä¥å¥í ¥ò¥ó¥å¥ñ¥å¥é¥ó¥á¥é ¥ò¥ç¥ì¥á¥ò¥é¥áς ¥ê¥á¥é ¥ó¥ï¥ô ¥ï¥ð¥ï¥é¥ï¥ô ¥ç «¥å¥ð¥é¥ò¥ó¥ç¥ì¥ï¥í¥é¥ê¥ç ¥å¥î¥ç¥ã¥ç¥ò¥ç» (¥ï¥é ¥ð¥á¥ñ¥á¥ó¥ç¥ñ¥ç¥ò¥å¥éς ¥ì¥ï¥ô ¥ò¥ö¥å¥ó¥é¥ê¥á ¥ì¥å ¥ó¥ï ¥ó¥é ¥ò¥ç¥ì¥á¥é¥í¥å¥é ¥á¥ô¥ó¥ï ¥á¥ê¥ï¥ë¥ï¥ô¥è¥ï¥ô¥í ¥ò¥ó¥ç ¥ð¥á¥ñ¥á¥ã¥ñ¥á¥õ¥ï 5) ¥å¥é¥í¥á¥é ¥á¥ð¥é¥è¥á¥í¥ç, ¥è¥á ¥ç¥è¥å¥ë¥á ¥í¥á ¥á¥ê¥ï¥ô¥ò¥ø ¥ó¥ï ¥å¥ð¥é¥ö¥å¥é¥ñ¥ç¥ì¥á ¥ò¥áς. ¥Ä¥é¥á¥õ¥ï¥ñ¥å¥ó¥é¥ê¥á, ¥í¥ï¥ì¥é¥ì¥ï¥ð¥ï¥é¥ï¥ô¥ì¥á¥é ¥í¥á ¥ê¥á¥ó¥á¥ë¥á¥â¥ø ¥ï¥ó¥é ¥ï¥ë¥ï¥é ¥ï¥é ¥ò¥ô¥ì¥ì¥å¥ó¥å¥ö¥ï¥í¥ó¥åς ¥ò¥ó¥ï ¥ò¥ô¥ì¥ð¥ï¥ò¥é¥ï ¥ä¥å¥ö¥ï¥í¥ó¥á¥é ¥ï¥ó¥é ¥å¥é¥í¥á¥é ¥ä¥ô¥í¥á¥ó¥ç ¥ç ¥ð¥ë¥ç¥ñ¥çς (¥ð¥ï¥ô ¥í¥á ¥á¥õ¥ï¥ñ¥á ¥ï¥ö¥é ¥ì¥ï¥í¥ï ¥ó¥ï ¥å¥é¥ä¥ïς ¥ó¥çς ¥å¥ì¥ð¥å¥é¥ñ¥é¥áς, ¥ð.¥ö., ¥á¥ê¥ï¥ô¥ò¥ó¥é¥ê¥ç, ¥ï¥ð¥ó¥é¥ê¥ç, ¥á¥ë¥ë¥á ¥ê¥á¥é ¥ó¥ï ¥ã¥é¥á¥ó¥é ¥ì¥ð¥ï¥ñ¥å¥é ¥í¥á ¥ð¥á¥ñ¥á¥ê¥ï¥ë¥ï¥ô¥è¥å¥é ¥ó¥ï ¥í¥ï¥ì¥ï Weber-Fechner ¥ï¥ó¥á¥í ¥ó¥ï ¥ê¥á¥í¥å¥é, ¥ã¥é¥á¥ó¥é ¥ä¥å¥í ¥â¥ë¥å¥ð¥ï¥ô¥ì¥å ¥ê¥ï¥ê¥ê¥é¥í¥ï¥ð¥ñ¥á¥ò¥é¥í¥ï ¥ï¥ó¥á¥í ¥á¥í¥á¥ê¥á¥ó¥å¥÷¥ï¥ô¥ì¥å ¥ê¥ï¥ê¥ê¥é¥í¥ï ¥ê¥á¥é ¥ð¥ñ¥á¥ò¥é¥í¥ï, ¥ê¥ë¥ð.) ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ï¥í¥é¥ê¥ç ¥å¥î¥ç¥ã¥ç¥ò¥ç (¥ï,¥ó¥é ¥ê¥á¥é ¥á¥í ¥ò¥ç¥ì¥á¥é¥í¥å¥é ¥á¥ô¥ó¥ï) ¥ó¥ø¥í Qualia (¥ê¥á¥ó¥á ¥ó¥ï ¥ó¥ì¥ç¥ì¥á ¥ó¥ï¥ô ¥ï¥ñ¥ï¥ô ¥ð¥ï¥ô ¥ä¥å¥í ¥å¥é¥í¥á¥é ¥á¥í¥å¥ô ¥ò¥ç¥ì¥á¥ò¥é¥áς ¥ê¥á¥é ¥ð¥ï¥ô ¥ä¥å¥í ¥ò¥ô¥í¥é¥ò¥ó¥á ¥ë¥ï¥ã¥é¥ê¥ï ¥ò¥õ¥á¥ë¥ì¥á). ¥Í¥á ¥å¥ð¥á¥í¥á¥ë¥á¥â¥ø ¥ö¥ø¥ñ¥éς ¥ó¥éς ¥ð¥á¥ñ¥å¥í¥è¥å¥ò¥å¥éς: ¥á¥í ¥ä¥å¥í ¥ä¥é¥á¥è¥å¥ó¥å¥ó¥å ¥ê¥á¥ð¥ï¥é¥ï ¥ê¥á¥ë¥ï ¥ð¥á¥ñ¥á¥ä¥å¥é¥ã¥ì¥á ¥ö¥á¥ñ¥á¥ê¥ó¥ç¥ñ¥é¥ò¥ó¥é¥ê¥ï¥ô ¥ó¥ø¥í Qualia ¥ð¥ï¥ô ¥í¥á ¥å¥é¥í¥á¥é ¥ó¥á¥ô¥ó¥ï¥ö¥ñ¥ï¥í¥á ¥ã¥í¥ç¥ò¥é¥ï ¥ê¥á¥é ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ï¥í¥é¥ê¥á ¥ì¥ç ¥å¥î¥ç¥ã¥ç¥ò¥é¥ì¥ï ¥ä¥å¥ö¥å¥ò¥ó¥å ¥ï¥ó¥é ¥å¥é¥í¥á¥é ¥ä¥ô¥í¥á¥ó¥ç ¥ç ¥ð¥ë¥ç¥ñ¥çς ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ï¥í¥é¥ê¥ç ¥å¥î¥ç¥ã¥ç¥ò¥ç ¥ó¥ø¥í Qualia.

 

  1. ¥Å¥ð¥é¥ò¥ó¥ç¥ì¥ï¥í¥é¥ê¥ç ¥å¥î¥ç¥ã¥ç¥ò¥ç: ¥Õ¥ï¥â¥á¥ì¥á¥é ¥ð¥øς ¥ç ¥é¥ê¥á¥í¥ï¥ð¥ï¥é¥ç¥ò¥ç ¥ó¥ï¥ô ¥á¥ñ¥ö¥é¥ê¥ï¥ô ¥á¥é¥ó¥ç¥ì¥á¥ó¥ïς ¥ó¥ï¥ô ¥Ð¥á¥ð¥á¥í¥é¥ê¥ï¥ë¥á¥ï¥ô, ¥ç ¥á¥ð¥á¥é¥ó¥ç¥ò¥ç ¥ä¥ç¥ë¥á¥ä¥ç ¥í¥á ¥ê¥á¥ó¥á¥ò¥ê¥å¥ô¥á¥ò¥ï¥ô¥ì¥å ¥å¥í¥á ¥ð¥á¥ñ¥á¥ã¥ø¥ã¥é¥ê¥ï ¥ð¥ñ¥ï¥ó¥ô¥ð¥ï ¥ó¥çς ¥ò¥ô¥í¥å¥é¥ä¥ç¥ò¥çς, ¥ä¥å¥í ¥è¥á ¥ç¥ó¥á¥í ¥é¥ä¥é¥á¥é¥ó¥å¥ñ¥á ¥ä¥é¥á¥õ¥ø¥ó¥é¥ò¥ó¥é¥ê¥ç. ¥Ó¥ï¥ò¥ï ¥ï ¥Ð¥å¥õ¥á¥í¥çς ¥ï¥ò¥ï ¥ê¥á¥é ¥å¥ã¥ø, ¥å¥ð¥é¥ö¥å¥é¥ñ¥ç¥ò¥á¥ì¥å ¥ò¥ó¥ï¥ôς ¥ä¥ô¥ï ¥ð¥ñ¥ø¥ó¥ï¥ôς ¥ã¥ô¥ñ¥ï¥ôς ¥ó¥çς ¥ò¥ô¥æ¥ç¥ó¥ç¥ò¥çς ¥ì¥áς ¥í¥á ¥å¥î¥ç¥ã¥ç¥ò¥ï¥ô¥ì¥å ¥ï¥ó¥é ¥ç ¥ê¥á¥ó¥á¥ò¥ê¥å¥ô¥ç ¥ð¥á¥ñ¥á¥ã¥ø¥ã¥é¥ê¥ï¥ô ¥ð¥ñ¥ï¥ó¥ô¥ð¥ï¥ô ¥å¥ö¥å¥é ¥á¥ð¥ï¥ä¥å¥é¥ö¥è¥å¥é ¥á¥ö¥ñ¥ç¥ò¥ó¥ç ¥ê¥á¥é ¥á¥í¥á¥ð¥ï¥ó¥å¥ë¥å¥ò¥ì¥á¥ó¥é¥ê¥ç ¥ä¥é¥á¥ä¥é¥ê¥á¥ò¥é¥á ¥ò¥å ¥ê¥á¥è¥å ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ç ¥ï¥ð¥ï¥ô ¥å¥ð¥é¥ö¥å¥é¥ñ¥ç¥è¥ç¥ê¥å. ¥Ä¥å¥í ¥í¥ï¥ì¥é¥æ¥ø ¥ï¥ó¥é ¥ï¥é ¥å¥ð¥é¥ò¥ó¥ç¥ì¥åς ¥ð¥ï¥ô ¥å¥ð¥é¥ö¥å¥é¥ñ¥ï¥ô¥í ¥í¥á ¥ä¥é¥á¥õ¥ø¥ó¥é¥ò¥ï¥ô¥í ¥ó¥ç ¥ò¥ö¥å¥ò¥ç ¥Ò¥ø¥ì¥á¥ó¥ïς/¥Í¥ï¥ô ¥è¥á ¥á¥ð¥ï¥ó¥å¥ë¥å¥ò¥ï¥ô¥í ¥å¥î¥á¥é¥ñ¥å¥ò¥ç. ¥Ð¥ñ¥ï¥ê¥å¥é¥ì¥å¥í¥ï¥ô ¥ë¥ï¥é¥ð¥ï¥í ¥í¥á ¥å¥î¥á¥ò¥õ¥á¥ë¥é¥ò¥ï¥ô¥ì¥å ¥ð¥å¥é¥ò¥ó¥é¥ê¥ç ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ï¥í¥é¥ê¥ç ¥å¥î¥ç¥ã¥ç¥ò¥ç ¥ó¥ï¥ô ¥õ¥á¥é¥í¥ï¥ì¥å¥í¥ï¥ô «¥ò¥ô¥í¥å¥é¥ä¥ç¥ò¥ç» ¥è¥á ¥ð¥ñ¥å¥ð¥å¥é ¥í¥á ¥å¥ð¥é¥ö¥å¥é¥ñ¥ç¥ò¥ï¥ô¥ì¥å ¥ê¥á¥ó¥é ¥á¥ë¥ë¥ï ¥á¥ð¥ï ¥ó¥ç ¥ê¥á¥ó¥á¥ò¥ê¥å¥ô¥ç ¥ð¥á¥ñ¥á¥ã¥ø¥ã¥é¥ê¥ï¥ô ¥ð¥ñ¥ï¥ó¥ô¥ð¥ï¥ô ¥ó¥çς. ¥Ï¥ð¥øς ¥é¥ò¥ö¥ô¥ñ¥é¥ò¥ó¥ç¥ê¥á ¥ò¥å ¥ð¥ñ¥ï¥ç¥ã¥ï¥ô¥ì¥å¥í¥ï¥ôς ¥ã¥ô¥ñ¥ï¥ôς ¥ó¥çς ¥ò¥ô¥æ¥ç¥ó¥ç¥ò¥çς ¥ì¥áς ¥á¥ô¥ó¥ç ¥ì¥ð¥ï¥ñ¥å¥é ¥í¥á ¥ð¥á¥ñ¥å¥é ¥ó¥ç ¥ì¥ï¥ñ¥õ¥ç «¥ä¥é¥á¥è¥å¥ø¥ñ¥ç¥ó¥é¥ê¥çς ¥á¥í¥á¥ã¥ø¥ã¥çς», ¥å¥í¥áς ¥ó¥å¥ö¥í¥é¥ê¥ïς ¥ï¥ñ¥ïς ¥ð¥ï¥ô ¥ö¥ñ¥ç¥ò¥é¥ì¥ï¥ð¥ï¥é¥ï¥ô¥ì¥å ¥ê¥á¥è¥å ¥õ¥ï¥ñ¥á ¥ð¥ï¥ô ¥å¥í¥í¥ï¥é¥åς ¥ì¥é¥áς ¥å¥ð¥é¥ò¥ó¥ç¥ì¥çς (¥ð.¥ö., ¥ó¥çς ¥×¥ô¥ö¥ï¥ë¥ï¥ã¥é¥áς ¥ì¥é¥á ¥ê¥á¥é ¥á¥í¥á¥õ¥å¥ñ¥ï¥ì¥á¥ò¥ó¥å ¥ò¥ó¥ç ¥ò¥ô¥í¥å¥é¥ä¥ç¥ò¥ç) «¥å¥î¥ç¥ã¥ï¥ô¥í¥ó¥á¥é» ¥ö¥ñ¥ç¥ò¥é¥ì¥ï¥ð¥ï¥é¥ø¥í¥ó¥áς ¥å¥í¥í¥ï¥é¥åς ¥ì¥é¥áς ¥á¥ë¥ë¥çς ¥å¥ð¥é¥ò¥ó¥ç¥ì¥çς (¥å¥í ¥ð¥ñ¥ï¥ê¥å¥é¥ì¥å¥í¥ø ¥â¥é¥ï¥ë¥ï¥ã¥é¥áς ¥ç ¥í¥å¥ô¥ñ¥ï¥å¥ð¥é¥ò¥ó¥ç¥ì¥ø¥í). ¥Ç ¥ä¥é¥á¥è¥å¥ø¥ñ¥ç¥ó¥é¥ê¥ç ¥á¥í¥á¥ã¥ø¥ã¥ç ¥å¥é¥í¥á¥é ¥ð¥ï¥ë¥ô¥ð¥ë¥ï¥ê¥ç ¥ä¥é¥á¥ä¥é¥ê¥á¥ò¥é¥á ¥ê¥á¥é ¥å¥ö¥å¥é ¥ð¥ë¥å¥é¥ò¥ó¥åς ¥ò¥ô¥í¥å¥ð¥å¥é¥åς ¥ã¥é¥á ¥ó¥ï ¥ë¥å¥î¥é¥ë¥ï¥ã¥é¥ï, ¥ó¥á ¥ê¥ñ¥é¥ó¥ç¥ñ¥é¥á ¥å¥ë¥å¥ã¥ö¥ï¥ô ¥ó¥çς ¥á¥ë¥ç¥è¥å¥é¥áς ¥ä¥é¥á¥ó¥ô¥ð¥ø¥ò¥å¥ø¥í, ¥ó¥ç¥í ¥ð¥å¥é¥ò¥ó¥é¥ê¥ï¥ó¥ç¥ó¥á ¥ò¥ô¥ì¥ð¥å¥ñ¥á¥ò¥ì¥á¥ó¥ø¥í, ¥ê¥ë¥ð., ¥ê¥á¥è¥å ¥ì¥é¥áς ¥á¥ð¥ï ¥ó¥éς ¥å¥ð¥é¥ò¥ó¥ç¥ì¥åς ¥ð¥ï¥ô ¥ò¥ô¥ì¥ì¥å¥ó¥å¥ö¥ï¥ô¥í ¥ò¥å ¥á¥ô¥ó¥ç ¥ó¥ç ¥ð¥ñ¥ï¥ò¥ð¥á¥è¥å¥é¥á. ¥Ó¥ç ¥ä¥é¥á¥ä¥é¥ê¥á¥ò¥é ¥á¥ô¥ó¥ç ¥å¥ð¥é¥ö¥å¥é¥ñ¥ç¥ò¥å ¥í¥á ¥ð¥å¥ñ¥é¥ã¥ñ¥á¥÷¥å¥é ¥ò¥ó¥ç ¥ð¥ñ¥ï¥ò¥õ¥á¥ó¥ç ¥å¥é¥ò¥ç¥ã¥ç¥ò¥ç ¥ó¥ï¥ô ¥ï ¥Ð¥å¥õ¥á¥í¥çς. ¥Á¥í ¥ê¥ñ¥é¥í¥ø ¥á¥ð¥ï ¥ó¥á ¥ò¥ö¥ï¥ë¥é¥á ¥ð¥ï¥ô ¥á¥ê¥ï¥ë¥ï¥ô¥è¥ç¥ò¥á¥í ¥ó¥ç ¥ð¥á¥ñ¥ï¥ô¥ò¥é¥á¥ò¥ç ¥ó¥ï¥ô, ¥ì¥å¥ñ¥é¥ê¥ï¥é ¥á¥ð¥ï ¥ò¥áς ¥ä¥ô¥ò¥ê¥ï¥ë¥å¥ô¥ó¥ç¥ê¥á¥í ¥í¥á ¥ó¥ç ¥ð¥á¥ñ¥á¥ê¥ï¥ë¥ï¥ô¥è¥ç¥ò¥ï¥ô¥í ¥ò¥ó¥éς ¥ë¥å¥ð¥ó¥ï¥ì¥å¥ñ¥å¥é¥åς ¥ó¥çς. ¥Å¥ð¥å¥é¥ä¥ç ¥ó¥á ¥ò¥ô¥ì¥ð¥å¥ñ¥á¥ò¥ì¥á¥ó¥á ¥ò¥ó¥á ¥ï¥ð¥ï¥é¥á ¥ì¥ð¥ï¥ñ¥å¥é ¥í¥á ¥ì¥áς ¥ï¥ä¥ç¥ã¥ç¥ò¥å¥é ¥å¥é¥í¥á¥é ¥ð¥ï¥ë¥ô ¥ò¥ç¥ì¥á¥í¥ó¥é¥ê¥á  ¥ã¥é¥á ¥ó¥ç ¥ê¥ï¥ô¥â¥å¥í¥ó¥á ¥ì¥áς, ¥é¥ä¥ï¥ô ¥ó¥ï ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ï¥ë¥ï¥ã¥é¥ê¥ï ¥å¥ã¥ö¥å¥é¥ñ¥ç¥ì¥á ¥ð¥ï¥ô ¥ì¥áς ¥á¥õ¥ï¥ñ¥á, ¥ò¥å ¥ð¥é¥ï ¥á¥ð¥ë¥ç ¥ì¥ï¥ñ¥õ¥ç:

a.                               ¥Ç ¥ò¥ô¥í¥å¥é¥ä¥ç¥ò¥ç ¥á¥ð¥ï¥ó¥å¥ë¥å¥é ¥å¥í¥á ¥á¥ð¥ï ¥ó¥á ¥á¥í¥ó¥é¥ê¥å¥é¥ì¥å¥í¥á ¥ó¥çς ¥×¥ô¥ö¥ï¥ë¥ï¥ã¥é¥áς

b.                              ¥Ò¥ó¥éς ¥ì¥å¥ñ¥åς ¥ì¥áς ¥å¥ð¥é¥ó¥ô¥ã¥ö¥á¥í¥å¥ó¥á¥é ¥ç ¥ä¥é¥á¥è¥å¥ø¥ñ¥ç¥ó¥é¥ê¥ç ¥á¥í¥á¥ã¥ø¥ã¥ç ¥å¥í¥ïς ¥ó¥ì¥ç¥ì¥á¥ó¥ïς ¥ó¥çς ¥×¥ô¥ö¥ï¥ë¥ï¥ã¥é¥áς (¥×¥ô¥ö¥ï¥õ¥ô¥ò¥é¥ê¥ç, ¥Ç¥è¥ï¥ë¥ï¥ã¥é¥á, ¥ê¥ë¥ð.) ¥ò¥å ¥Í¥å¥ô¥ñ¥ï¥å¥ð¥é¥ò¥ó¥ç¥ì¥åς (¥ì¥å ¥á¥ð¥ï¥ó¥å¥ë¥å¥ò¥ì¥á ¥í¥á ¥ð¥ñ¥ï¥ê¥ô¥ð¥ó¥ï¥ô¥í ¥å¥ô¥ñ¥å¥éς ¥ö¥ø¥ñ¥ï¥é ¥ó¥ï¥ô ¥å¥ð¥é¥ò¥ó¥ç¥ó¥ï¥ô ¥ï¥ð¥øς ¥Í¥å¥ô¥ñ¥ï¥ç¥è¥ï¥ë¥ï¥ã¥é¥á, ¥Í¥å¥ô¥ñ¥ï¥÷¥ô¥ö¥ï¥ë¥ï¥ã¥é¥á, ¥ê¥ë¥ð.)

c.                               ¥Ó¥ï b ¥ì¥áς ¥ð¥á¥ñ¥å¥ö¥å¥é ¥ê¥á¥ë¥ï¥ôς ¥ë¥ï¥ã¥ï¥ôς ¥í¥á ¥í¥ï¥ì¥é¥æ¥ï¥ô¥ì¥å ¥ï¥ó¥é ¥ê¥á¥ð¥ï¥é¥á ¥×¥ô¥ö¥ï¥ë¥ï¥ã¥é¥á (¥ï¥ö¥é ¥á¥ê¥ñ¥é¥â¥øς ¥á¥ô¥ó¥ç ¥ð¥ï¥ô ¥ä¥é¥á¥è¥å¥ó¥ï¥ô¥ì¥å ¥ó¥ø¥ñ¥á) ¥ì¥ð¥ï¥ñ¥å¥é ¥í¥á ¥á¥í¥á¥ö¥è¥å¥é ¥ò¥å ¥ê¥á¥ð¥ï¥é¥á ¥Í¥å¥ô¥ñ¥ï¥å¥ð¥é¥ò¥ó¥ç¥ì¥ç (¥å¥ð¥é¥ò¥çς ¥ï¥ö¥é ¥á¥ê¥ñ¥é¥â¥øς ¥á¥ô¥ó¥ç ¥ð¥ï¥ô ¥ä¥é¥á¥è¥å¥ó¥ï¥ô¥ì¥å ¥ó¥ø¥ñ¥á).

d.                              ¥Ç ¥ä¥é¥á¥è¥å¥ø¥ñ¥ç¥ó¥é¥ê¥ç ¥á¥í¥á¥ã¥ø¥ã¥ç ¥ð¥ï¥ô ¥ô¥ð¥ï¥í¥ï¥å¥é ¥ç c ¥ò¥ô¥í¥å¥ð¥á¥ã¥å¥ó¥á¥é ¥ï¥í¥ó¥ï¥ë¥ï¥ã¥é¥ê¥ç ¥á¥í¥á¥ã¥ø¥ã¥ç ¥ó¥ø¥í ¥á¥í¥ó¥é¥ê¥å¥é¥ì¥å¥í¥ø¥í ¥ð¥ï¥ô ¥á¥ð¥á¥ò¥ö¥ï¥ë¥ï¥ô¥í ¥ó¥ç¥í ¥×¥ô¥ö¥ï¥ë¥ï¥ã¥é¥á (¥ò¥ô¥í¥å¥é¥ä¥ç¥ò¥ç, ¥á¥í¥ó¥é¥ë¥ç¥÷¥ç, ¥ì¥í¥ç¥ì¥ç, ¥ê¥ë¥ð.) ¥ò¥ó¥á ¥á¥í¥ó¥é¥ê¥å¥é¥ì¥å¥í¥á ¥ð¥ï¥ô ¥á¥ð¥á¥ò¥ö¥ï¥ë¥ï¥ô¥í ¥ó¥éς ¥Í¥å¥ô¥ñ¥ï¥å¥ð¥é¥ò¥ó¥ç¥ì¥åς (¥ä¥ñ¥á¥ò¥ó¥ç¥ñ¥é¥ï¥ó¥ç¥ó¥á ¥í¥å¥ô¥ñ¥é¥ê¥ø¥í ¥ê¥ô¥ó¥ó¥á¥ñ¥ø¥í, ¥å¥í¥å¥ñ¥ã¥ï¥ð¥ï¥é¥ç¥ò¥ç ¥ð¥å¥ñ¥é¥ï¥ö¥ø¥í ¥ó¥ï¥ô ¥å¥ã¥ê¥å¥õ¥á¥ë¥ï¥ô, ¥ê¥ë¥ð.).

e.                               ¥Ò¥ô¥í¥å¥ð¥øς ¥ç ¥Ò¥ô¥í¥å¥é¥ä¥ç¥ò¥ç ¥ä¥å¥í ¥å¥é¥í¥á¥é ¥ó¥é¥ð¥ï¥ó¥å ¥á¥ë¥ë¥ï ¥á¥ð¥ï ¥å¥í¥å¥ñ¥ã¥ï¥ð¥ï¥é¥ç¥ò¥ç ¥ê¥á¥ó¥á¥ë¥ë¥ç¥ë¥ø¥í ¥í¥å¥ô¥ñ¥é¥ê¥ø¥í ¥ê¥ô¥ê¥ë¥ø¥ì¥á¥ó¥ø¥í.

 

¥È¥á ¥å¥ð¥é¥ö¥å¥é¥ñ¥ç¥ò¥ø ¥å¥ä¥ø ¥í¥á ¥á¥í¥ó¥é¥ì¥å¥ó¥ø¥ð¥é¥ò¥ø ¥ä¥ô¥ï ¥å¥ð¥é¥õ¥ô¥ë¥á¥î¥å¥éς ¥ð¥ï¥ô ¥ì¥å¥ñ¥é¥ê¥ï¥é ¥á¥ð¥ï ¥ò¥áς ¥å¥î¥å¥õ¥ñ¥á¥ò¥á¥í ¥ò¥ó¥ï ¥ð¥á¥ñ¥å¥ë¥è¥ï¥í ¥ê¥á¥é ¥á¥õ¥ï¥ñ¥ï¥ô¥í ¥ó¥ç ¥ð¥ñ¥ï¥ê¥å¥é¥ì¥å¥í¥ç b ¥ê¥á¥é ¥ó¥ï ¥ò¥ô¥ì¥ð¥å¥ñ¥á¥ò¥ì¥á e.

T¥á ¥ð¥å¥ñ¥é¥ò¥ò¥ï¥ó¥å¥ñ¥á ¥á¥ð¥ï ¥ó¥á ¥ð¥á¥ñ¥á¥ä¥å¥é¥ã¥ì¥á¥ó¥á ¥á¥í¥á¥ã¥ø¥ã¥çς ¥ò¥ó¥ç¥í ¥ï¥ð¥ï¥é¥á ¥á¥í¥á¥õ¥å¥ñ¥å¥ó¥á¥é ¥ç ¥ð¥ñ¥ï¥ê¥å¥é¥ì¥å¥í¥ç b, ¥ê¥á¥é ¥ð¥ï¥ô ¥ò¥ô¥í¥á¥í¥ó¥á ¥ê¥á¥í¥å¥éς ¥ò¥ó¥ç ¥â¥é¥â¥ë¥é¥ï¥ã¥ñ¥á¥õ¥é¥á, ¥á¥õ¥ï¥ñ¥ï¥ô¥í ¥ð¥å¥ñ¥é¥ï¥ö¥åς ¥ð¥ï¥ô ¥ó¥ø¥ñ¥á ¥ð¥é¥á (¥á¥í ¥ê¥á¥é ¥ï¥ö¥é ¥ó¥ï¥ó¥å ¥ð¥ï¥ô ¥ò¥ô¥í¥å¥â¥á¥é¥í¥å ¥ç ¥á¥í¥á¥ã¥ø¥ã¥ç) ¥á¥í¥ç¥ê¥ï¥ô¥í ¥ò¥ó¥ç ¥Õ¥ô¥ò¥é¥ê¥ç (¥ð.¥ö., ¥ã¥å¥ø¥ì¥å¥ó¥ñ¥é¥ê¥ç ¥ï¥ð¥ó¥é¥ê¥ç / ¥ç¥ë¥å¥ê¥ó¥ñ¥ï¥ì¥á¥ã¥í¥ç¥ó¥é¥ò¥ì¥ïς, ¥è¥å¥ñ¥ì¥ï¥ä¥ô¥í¥á¥ì¥é¥ê¥ç / ¥ò¥ó¥á¥ó¥é¥ò¥ó¥é¥ê¥ç ¥ì¥ç¥ö¥á¥í¥é¥ê¥ç, ¥ê¥ë¥ð.). ¥Ð¥á¥ñ¥á ¥ó¥ï ¥ï¥ó¥é ¥ï¥é ¥ä¥ô¥ï ¥ð¥ñ¥ø¥ó¥åς ¥å¥é¥ò¥ç¥ã¥ç¥ò¥å¥éς ¥ì¥ï¥ô ¥ð¥å¥ñ¥é¥ë¥á¥ì¥â¥á¥í¥ï¥ô¥í ¥í¥ô¥î¥å¥éς ¥ò¥å ¥ð¥ï¥ë¥ë¥á ¥ð¥á¥ñ¥á¥ä¥å¥é¥ã¥ì¥á¥ó¥á ¥á¥í¥á¥ã¥ø¥ã¥çς ¥á¥ð¥ï ¥ì¥é¥á ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ç ¥ò¥å ¥ì¥é¥á ¥á¥ë¥ë¥ç (¥ê¥ô¥ñ¥é¥øς ¥ã¥é¥á ¥ó¥ï ¥æ¥å¥ô¥ã¥ïς ¥×¥ô¥ö¥ï¥ë¥ï¥ã¥é¥á/¥Í¥å¥ô¥ñ¥ï¥å¥ð¥é¥ò¥ó¥ç¥ì¥åς) ¥ì¥å¥ñ¥é¥ê¥ï¥é ¥á¥ð¥ï ¥ò¥áς (¥ð.¥ö., ¥Ê¥å¥ñ¥á¥ò¥é¥ä¥çς, ¥Ò¥á¥â¥â¥á¥ê¥ç) ¥å¥ö¥å¥ó¥å ¥é¥ò¥ö¥ô¥ñ¥é¥ò¥è¥å¥é ¥ï¥ó¥é ¥ç ¥é¥ò¥ó¥ï¥ñ¥é¥á ¥ó¥ø¥í ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ø¥í ¥ä¥å¥í ¥ä¥é¥á¥è¥å¥ó¥á¥é ¥ê¥á¥í¥å¥í¥á ¥ê¥á¥ë¥ï ¥ò¥ö¥å¥ó¥é¥ê¥ï ¥ð¥á¥ñ¥á¥ä¥å¥é¥ã¥ì¥á. ¥Øς ¥å¥ê ¥ó¥ï¥ô¥ó¥ï¥ô, ¥è¥á ¥á¥ò¥ö¥ï¥ë¥ç¥è¥ø ¥å¥ä¥ø ¥ð¥é¥ï ¥å¥ê¥ó¥å¥í¥øς ¥ì¥å ¥å¥í¥á ¥á¥ê¥ï¥ì¥ç ¥ð¥á¥ñ¥á¥ä¥å¥é¥ã¥ì¥á, ¥á¥ô¥ó¥ç ¥ó¥ç ¥õ¥ï¥ñ¥á ¥á¥ð¥ï ¥ó¥ï ¥æ¥å¥ô¥ã¥ïς ¥Í¥å¥ô¥ñ¥ï¥å¥ð¥é¥ò¥ó¥ç¥ì¥åς/¥Õ¥ô¥ò¥é¥ê¥ç: ¥ó¥ï ¥ä¥ô¥í¥á¥ì¥é¥ê¥ï ¥å¥í¥å¥ñ¥ã¥å¥é¥áς ¥ó¥ø¥í ¥í¥å¥ô¥ñ¥é¥ê¥ø¥í ¥ê¥ô¥ó¥ó¥á¥ñ¥ø¥í. ¥Ì¥ï¥ë¥ï¥í¥ï¥ó¥é ¥á¥ô¥ó¥ï ¥ä¥å¥í ¥å¥é¥í¥á¥é ¥õ¥á¥í¥å¥ñ¥ï ¥á¥ð¥ï ¥ó¥ç ¥ä¥é¥á¥ó¥ô¥ð¥ø¥ò¥ç ¥ì¥ï¥ô, ¥ä¥é¥á¥è¥å¥ø¥ñ¥ç¥ó¥é¥ê¥åς ¥á¥í¥á¥ã¥ø¥ã¥åς ¥á¥õ¥ï¥ñ¥ï¥ô¥í ¥í¥ï¥ì¥ï¥ôς. ¥Ð¥ï¥é¥ïς ¥å¥é¥í¥á¥é ¥ï ¥á¥í¥á¥ã¥ï¥ì¥å¥í¥ïς ¥í¥ï¥ì¥ïς ¥á¥ð¥ï ¥ó¥ç ¥ì¥å¥ñ¥é¥á ¥ó¥ø¥í ¥Í¥å¥ô¥ñ¥ï¥å¥ð¥é¥ò¥ó¥ç¥ì¥ø¥í; ¥Ç ¥ó¥á¥ö¥ô¥ó¥ç¥ó¥á ¥á¥ã¥ø¥ã¥çς ¥ó¥ï¥ô ¥ä¥ô¥í¥á¥ì¥é¥ê¥ï¥ô ¥å¥í¥å¥ñ¥ã¥å¥é¥áς ¥ò¥å ¥á¥ì¥ô¥å¥ë¥åς ¥í¥å¥ô¥ñ¥é¥ê¥åς ¥é¥í¥åς ¥å¥é¥í¥á¥é ¥å¥ô¥è¥å¥øς ¥á¥í¥á¥ë¥ï¥ã¥ç ¥ó¥çς ¥ó¥å¥ó¥ñ¥á¥ã¥ø¥í¥é¥ê¥çς ¥ñ¥é¥æ¥áς ¥ó¥çς ¥ä¥é¥á¥ì¥å¥ó¥ñ¥ï¥ô ¥ó¥çς ¥é¥í¥áς (¥ò¥ç¥ì¥å¥é¥ø¥ò¥ó¥å ¥ï¥ó¥é ¥è¥á ¥ì¥ð¥ï¥ñ¥ï¥ô¥ò¥å ¥í¥á ¥å¥é¥í¥á¥é ¥å¥ô¥è¥å¥øς ¥á¥í¥á¥ë¥ï¥ã¥ç ¥ó¥ï¥ô ¥ó¥å¥ó¥ñ¥á¥ã¥ø¥í¥ï¥ô ¥ó¥çς ¥ä¥é¥á¥ì¥å¥ó¥ñ¥ï¥ô ¥ç ¥á¥í¥ó¥é¥ò¥ó¥ñ¥ï¥õ¥øς ¥á¥í¥á¥ë¥ï¥ã¥ç ¥ó¥çς ¥ä¥é¥á¥ì¥å¥ó¥ñ¥ï¥ô, ¥ç ¥ï¥ó¥é¥ä¥ç¥ð¥ï¥ó¥å ¥á¥ë¥ë¥ï). ¥Ð¥ï¥é¥ïς ¥å¥é¥í¥á¥é ¥ï ¥á¥í¥á¥ã¥ø¥í ¥í¥ï¥ì¥ïς (¥á¥ð¥ï ¥ó¥ç ¥ì¥å¥ñ¥é¥á ¥ó¥çς ¥Õ¥ô¥ò¥é¥ê¥çς); ¥Å¥é¥í¥á¥é ¥ï¥é ¥ä¥ô¥ï ¥í¥ï¥ì¥ï¥é ¥ó¥ï¥ô Kirchhoff ¥ò¥å ¥ï¥ó¥é ¥á¥õ¥ï¥ñ¥á ¥ó¥á ¥ñ¥å¥ô¥ì¥á¥ó¥á ¥ê¥á¥é ¥ó¥éς ¥ó¥á¥ò¥å¥éς ¥ð¥ï¥ô ¥å¥ì¥ð¥ë¥å¥ê¥ï¥í¥ó¥á¥é. ¥Ö¥ñ¥å¥é¥á¥æ¥å¥ó¥á¥é ¥ó¥é¥ð¥ï¥ó¥å ¥á¥ë¥ë¥ï; ¥Í¥á¥é. ¥Å¥ð¥å¥é¥ä¥ç ¥ï¥é ¥í¥ï¥ì¥ï¥é ¥ó¥ï¥ô Kirchhoff ¥å¥é¥í¥á¥é ¥ï¥ô¥ä¥å¥ó¥å¥ñ¥ï¥é ¥ò¥å ¥ï¥ó¥é¥ä¥ç¥ð¥ï¥ó¥å ¥á¥õ¥ï¥ñ¥á ¥ä¥é¥á¥ì¥å¥ì¥â¥ñ¥á¥í¥é¥ê¥á ¥ñ¥å¥ô¥ì¥á¥ó¥á, ¥ó¥ï ¥á¥í ¥ê¥á¥é ¥ð¥øς ¥å¥î¥á¥ñ¥ó¥ø¥í¥ó¥á¥é ¥á¥ð¥ï ¥ó¥ï ¥ö¥ñ¥ï¥í¥ï ¥ó¥ï ¥á¥í ¥ê¥á¥é ¥ð¥øς ¥å¥î¥á¥ñ¥ó¥ø¥í¥ó¥á¥é ¥á¥ð¥ï ¥ó¥á¥ò¥ç, ¥ê¥ë¥ð., ¥á¥ð¥á¥é¥ó¥å¥é¥ó¥á¥é ¥ç ¥ð¥ñ¥ï¥ò¥è¥ç¥ê¥ç ¥ã¥å¥õ¥ô¥ñ¥ï¥ð¥ï¥é¥ø¥í ¥ä¥é¥á¥ó¥ô¥ð¥ø¥ò¥å¥ø¥í ¥ð¥ï¥ô ¥ò¥ô¥í¥ä¥å¥ï¥ô¥í ¥ó¥ï¥ôς ¥ã¥å¥í¥é¥ê¥çς ¥é¥ò¥ö¥ô¥ïς ¥í¥ï¥ì¥ï¥ôς ¥ó¥ï¥ô Kirchhoff ¥ì¥å ¥ï,¥ó¥é ¥ò¥ô¥ì¥â¥á¥é¥í¥å¥é ¥ò¥ó¥á ¥í¥å¥ô¥ñ¥é¥ê¥á ¥ê¥ô¥ó¥ó¥á¥ñ¥á (¥å¥í ¥å¥é¥ä¥å¥é boundary conditions). ¥Á¥ô¥ó¥åς ¥ï¥é ¥ð¥ñ¥ï¥ò¥è¥å¥ó¥åς ¥ò¥ö¥å¥ò¥å¥éς ¥ð¥å¥ñ¥é¥ã¥ñ¥á¥õ¥ï¥ô¥í ¥ó¥ç ¥ö¥ñ¥ï¥í¥ï¥å¥î¥á¥ñ¥ó¥ç¥ò¥ç ¥ê¥á¥é ¥ó¥á¥ò¥å¥ï¥å¥î¥á¥ñ¥ó¥ç¥ò¥ç ¥ó¥ø¥í ¥é¥ï¥í¥ó¥é¥ê¥ø¥í ¥ñ¥å¥ô¥ì¥á¥ó¥ø¥í ¥ð¥ï¥ô ¥ä¥é¥á¥ð¥å¥ñ¥í¥ï¥ô¥í ¥ó¥ç ¥ì¥å¥ì¥â¥ñ¥á¥í¥ç ¥ó¥ø¥í ¥í¥å¥ô¥ñ¥é¥ê¥ø¥í ¥ê¥ô¥ó¥ó¥á¥ñ¥ø¥í ¥ï¥ð¥øς ¥ð¥ñ¥ï¥ê¥ô¥ð¥ó¥ï¥ô¥í ¥á¥ð¥ï ¥ð¥á¥ñ¥á¥ó¥ç¥ñ¥ç¥ò¥å¥éς (¥å¥í ¥ð¥ñ¥ï¥ê¥å¥é¥ì¥å¥í¥ø ¥ó¥ø¥í Hodgkin ¥ê¥á¥é Huxley). ¥Ï¥ó¥á¥í ¥ì¥á¥æ¥å¥ô¥ó¥ï¥ô¥í ¥ò¥å ¥ì¥é¥á ¥ò¥ö¥å¥ò¥ç ¥ï¥ë¥á ¥ó¥á ¥ð¥é¥ï ¥ð¥á¥í¥ø ¥ó¥ï¥ó¥å ¥ç ¥á¥í¥á¥ë¥ï¥ã¥é¥á ¥ì¥å¥ó¥á¥î¥ô ¥ó¥çς ¥ó¥á¥ö¥ô¥ó¥ç¥ó¥áς ¥á¥ã¥ø¥ã¥çς ¥ó¥ï¥ô ¥ä¥ô¥í¥á¥ì¥é¥ê¥ï¥ô ¥å¥í¥å¥ñ¥ã¥å¥é¥áς ¥ò¥å ¥á¥ì¥ô¥å¥ë¥åς ¥í¥å¥ô¥ñ¥é¥ê¥åς ¥é¥í¥åς ¥ê¥á¥é ¥ó¥çς ¥ó¥å¥ó¥ñ¥á¥ã¥ø¥í¥é¥ê¥çς ¥ñ¥é¥æ¥áς ¥ó¥çς ¥ä¥é¥á¥ì¥å¥ó¥ñ¥ï¥ô ¥ó¥çς ¥é¥í¥áς ¥ð¥ñ¥ï¥ê¥ô¥ð¥ó¥å¥é ¥á¥ð¥ï ¥ó¥éς ¥ð¥ñ¥á¥î¥å¥éς. ¥Á¥ô¥ó¥ï ¥å¥é¥í¥á¥é ¥ð¥ï¥ô ¥ö¥á¥é¥ñ¥å¥ó¥é¥ò¥ó¥ç¥ê¥å ¥á¥ð¥ï ¥ó¥ç¥í ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ï¥í¥é¥ê¥ç ¥ê¥ï¥é¥í¥ï¥ó¥ç¥ó¥á ¥ò¥á¥í ¥å¥î¥á¥é¥ñ¥å¥ó¥é¥ê¥ï ¥å¥ð¥é¥ó¥å¥ô¥ã¥ì¥á ¥ê¥á¥é ¥ï¥ä¥ç¥ã¥ç¥ò¥å ¥ò¥ó¥ç¥í ¥á¥ð¥ï¥í¥ï¥ì¥ç ¥ó¥ï¥ô ¥â¥ñ¥á¥â¥å¥é¥ï¥ô Nobel ¥ò¥ó¥ï¥ôς Hodgkin ¥ê¥á¥é Huxley. ¥Ï¥ò¥ï¥é ¥á¥ð¥ï ¥ò¥áς ¥é¥ò¥ö¥ô¥ñ¥é¥æ¥å¥ò¥ó¥å ¥ï¥ó¥é ¥ç ¥é¥ò¥ó¥ï¥ñ¥é¥á ¥ó¥ø¥í ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ø¥í ¥ä¥å¥í ¥ä¥é¥á¥è¥å¥ó¥á¥é ¥ê¥á¥í¥å¥í¥á ¥ð¥á¥ñ¥á¥ä¥å¥é¥ã¥ì¥á ¥á¥í¥á¥ã¥ø¥ã¥çς ¥á¥ð¥ï ¥ì¥é¥á ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ç ¥ò¥å ¥ì¥é¥á ¥á¥ë¥ë¥ç ¥ð¥ñ¥å¥ð¥å¥é ¥í¥á ¥å¥î¥ç¥ã¥ç¥ò¥å¥ó¥å ¥ã¥é¥á¥ó¥é ¥ó¥ï ¥ä¥ô¥í¥á¥ì¥é¥ê¥ï ¥å¥í¥å¥ñ¥ã¥å¥é¥áς ¥ä¥å¥í ¥á¥ð¥ï¥ó¥å¥ë¥å¥é ¥ê¥á¥ë¥ï ¥ð¥á¥ñ¥á¥ä¥å¥é¥ã¥ì¥á ¥ä¥é¥á¥è¥å¥ø¥ñ¥ç¥ó¥é¥ê¥çς ¥á¥í¥á¥ã¥ø¥ã¥çς ¥á¥ð¥ï ¥ó¥éς ¥Í¥å¥ô¥ñ¥ï¥å¥ð¥é¥ò¥ó¥ç¥ì¥åς ¥ò¥ó¥ç ¥Õ¥ô¥ò¥é¥ê¥ç. ¥Á¥í ¥ã¥é¥á ¥ð¥á¥ñ¥á¥ä¥å¥é¥ã¥ì¥á ¥í¥ï¥ì¥é¥æ¥å¥ó¥å ¥ï¥ó¥é ¥ê¥á¥é ¥ó¥á ¥ä¥ô¥ï ¥ò¥ê¥å¥ë¥ç ¥á¥ô¥ó¥çς ¥ó¥çς ¥á¥í¥á¥ã¥ø¥ã¥çς ¥á¥í¥ç¥ê¥ï¥ô¥í ¥ò¥ó¥ç ¥Õ¥ô¥ò¥é¥ê¥ç ¥ä¥å¥í ¥å¥ö¥å¥ó¥å ¥ð¥á¥ñ¥á ¥í¥á ¥á¥í¥ï¥é¥î¥å¥ó¥å ¥å¥í¥á ¥ê¥ë¥á¥ò¥ò¥é¥ê¥ï ¥ò¥ô¥ã¥ã¥ñ¥á¥ì¥á ¥Õ¥ô¥ò¥é¥ê¥çς (¥ð.¥ö. ¥ó¥á Lectures on Physics ¥ó¥ï¥ô Feynman) ¥ê¥á¥é ¥í¥á ¥ì¥ï¥ô ¥ô¥ð¥ï¥ä¥å¥é¥î¥å¥ó¥å ¥ó¥éς ¥ò¥å¥ë¥é¥ä¥åς ¥ð¥ï¥ô ¥å¥é¥í¥á¥é ¥á¥õ¥é¥å¥ñ¥ø¥ì¥å¥í¥åς ¥ò¥ó¥ï ¥ä¥ô¥í¥á¥ì¥é¥ê¥ï ¥å¥í¥å¥ñ¥ã¥å¥é¥áς.

 T¥ï ¥ò¥ô¥ì¥ð¥å¥ñ¥á¥ò¥ì¥á e, ¥á¥í ¥ì¥ç ¥ó¥é ¥á¥ë¥ë¥ï, ¥ê¥á¥ó¥á¥ã¥ñ¥á¥õ¥å¥é ¥ó¥ç¥í ¥á¥ð¥ï¥ä¥ï¥ö¥ç ¥ó¥çς ¥ô¥ð¥á¥ñ¥î¥çς ¥ó¥ï¥ô ¥õ¥á¥é¥í¥ï¥ì¥å¥í¥ï¥ô ¥ð¥ï¥ô ¥ê¥á¥ë¥ô¥ð¥ó¥å¥é ¥ï ¥ï¥ñ¥ïς «¥ò¥ô¥í¥å¥é¥ä¥ç¥ò¥ç» ¥ê¥á¥é ¥å¥î¥ç¥ã¥å¥é ¥ó¥ç ¥ê¥á¥ó¥á¥õ¥á¥ó¥é¥ê¥ç ¥ì¥ï¥ô ¥á¥ð¥á¥í¥ó¥ç¥ò¥ç ¥ò¥ó¥ç ¥ð¥ñ¥ï¥ò¥õ¥á¥ó¥ç ¥å¥ñ¥ø¥ó¥ç¥ò¥ç ¥ó¥ï¥ô ¥Ð¥á¥ð¥á¥í¥é¥ê¥ï¥ë¥á¥ï¥ô ¥ò¥ö¥å¥ó¥é¥ê¥á ¥ì¥å ¥ó¥ï ¥á¥í ¥á¥ð¥ï¥ä¥å¥ö¥ï¥ì¥á¥é ¥ó¥ç¥í ¥ô¥ð¥á¥ñ¥î¥ç ¥ó¥çς. ¥Å¥í ¥ð¥ñ¥ï¥ê¥å¥é¥ì¥å¥í¥ø, ¥å¥ö¥å¥é ¥å¥í¥ä¥é¥á¥õ¥å¥ñ¥ï¥í ¥ç ¥á¥ê¥ï¥ë¥ï¥ô¥è¥ç ¥å¥ñ¥ø¥ó¥ç¥ò¥ç: ¥Ó¥é ¥ã¥é¥í¥å¥ó¥á¥é ¥á¥ñ¥á¥ã¥å ¥ì¥å ¥ó¥á ¥õ¥á¥é¥í¥ï¥ì¥å¥í¥á, ¥ó¥ï¥ôς ¥ï¥ñ¥ï¥ôς, ¥ó¥éς ¥å¥í¥í¥ï¥é¥åς ¥ó¥çς ¥á¥í¥á¥ã¥ï¥ì¥å¥í¥çς ¥å¥ð¥é¥ò¥ó¥ç¥ì¥çς ¥ï¥ó¥á¥í ¥ï¥ë¥ï¥ê¥ë¥ç¥ñ¥ø¥è¥å¥é ¥ç ¥á¥í¥á¥ã¥ø¥ã¥ç ¥ó¥çς ¥ò¥ó¥ç¥í ¥á¥í¥á¥ã¥ï¥ô¥ò¥á; ¥Ç ¥á¥ð¥á¥í¥ó¥ç¥ò¥ç ¥å¥é¥í¥á¥é ¥ï¥ó¥é ¥ä¥é¥á¥ó¥ç¥ñ¥ï¥ô¥í¥ó¥á¥é ¥å¥ê¥ó¥ïς ¥á¥í ¥ã¥é¥í¥å¥é ¥ò¥á¥õ¥åς ¥ï¥ó¥é ¥ä¥å¥í ¥ò¥ç¥ì¥á¥é¥í¥ï¥ô¥í ¥ó¥é¥ð¥ï¥ó¥å (¥ð.¥ö., ¥õ¥ë¥ï¥ã¥é¥ò¥ó¥ï). ¥Ò¥å ¥ï,¥ó¥é ¥á¥õ¥ï¥ñ¥á ¥ó¥ç ¥ê¥ï¥ô¥â¥å¥í¥ó¥á ¥ì¥áς, ¥ä¥å¥í ¥ô¥ð¥á¥ñ¥ö¥å¥é ¥ê¥á¥í¥å¥éς ¥ë¥ï¥ã¥ïς ¥í¥á ¥õ¥á¥í¥ó¥á¥æ¥å¥ó¥á¥é ¥ê¥á¥í¥å¥éς ¥ï¥ó¥é ¥ç ¥á¥í¥á¥ã¥ø¥ã¥ç ¥ó¥çς ¥×¥ô¥ö¥ï¥ë¥ï¥ã¥é¥áς ¥ò¥å ¥Í¥å¥ô¥ñ¥ï¥å¥ð¥é¥ò¥ó¥ç¥ì¥ç ¥è¥á ¥å¥î¥á¥õ¥á¥í¥é¥ò¥å¥é ¥ó¥ï¥í ¥ï¥ñ¥ï ¥ò¥ô¥í¥å¥é¥ä¥ç¥ò¥ç ¥á¥ð¥ï ¥ó¥ï ¥ë¥å¥î¥é¥ê¥ï ¥ì¥áς ¥á¥ê¥ñ¥é¥â¥øς ¥ï¥ð¥øς ¥ä¥å¥í ¥å¥î¥á¥õ¥á¥í¥é¥ò¥å ¥ç ¥å¥í¥í¥ï¥é¥á «¥ì¥å¥ò¥ç ¥ê¥é¥í¥ç¥ó¥é¥ê¥ç ¥å¥í¥å¥ñ¥ã¥å¥é¥á ¥ò¥ø¥ì¥á¥ó¥é¥ä¥é¥ø¥í» ¥ó¥ç¥í ¥å¥í¥í¥ï¥é¥á «¥è¥å¥ñ¥ì¥ï¥ê¥ñ¥á¥ò¥é¥á» ¥ì¥å¥ó¥á ¥á¥ð¥ï ¥ó¥ç¥í ¥á¥í¥á¥ã¥ø¥ã¥ç ¥ó¥çς ¥è¥å¥ñ¥ì¥ï¥ä¥ô¥í¥á¥ì¥é¥ê¥çς ¥ò¥å ¥ò¥ó¥á¥ó¥é¥ò¥ó¥é¥ê¥ç ¥ì¥ç¥ö¥á¥í¥é¥ê¥ç.

     

  1. ¥Ñ¥å¥á¥ë¥é¥ò¥ì¥ïς ¥ê¥á¥é ¥ç ¥ã¥í¥ø¥ò¥ç ¥ó¥ø¥í ¥ð¥ñ¥á¥ã¥ì¥á¥ó¥ø¥í ¥ê¥á¥è¡¯¥å¥á¥ô¥ó¥á. ¥É: ¥Ï¥é ¥ä¥é¥á¥è¥å¥ø¥ñ¥ç¥ó¥é¥ê¥åς ¥á¥í¥á¥ã¥ø¥ã¥åς ¥å¥ö¥ï¥ô¥í ¥ò¥á¥í ¥ò¥ô¥í¥å¥ð¥å¥é¥á ¥ï¥í¥ó¥ï¥ë¥ï¥ã¥é¥ê¥ç ¥á¥í¥á¥ã¥ø¥ã¥ç. ¥Ä¥å¥ä¥ï¥ì¥å¥í¥çς ¥ó¥çς ¥å¥í¥ï¥ð¥ï¥é¥ç¥ò¥çς ¥ï¥ë¥ø¥í ¥ó¥ø¥í ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ø¥í ¥í¥ï¥ì¥é¥ì¥ï¥ð¥ï¥é¥ï¥ô¥ì¥á¥ò¥ó¥å ¥í¥á ¥ê¥á¥ó¥á¥ë¥á¥â¥ï¥ô¥ì¥å ¥ï¥ó¥é ¥ï¥ë¥ïς ¥ï ¥ê¥ï¥ò¥ì¥ïς ¥ê¥á¥é ¥ï,¥ó¥é ¥ô¥ð¥á¥ñ¥ö¥å¥é ¥ò¥å ¥á¥ô¥ó¥ï¥í ¥å¥é¥í¥á¥é ¥õ¥ó¥é¥á¥ã¥ì¥å¥í¥ïς ¥á¥ð¥ï ¥á¥ô¥ó¥ï ¥ð¥ï¥ô ¥á¥ð¥ï¥ó¥å¥ë¥å¥é ¥á¥í¥ó¥é¥ê¥å¥é¥ì¥å¥í¥ï ¥ó¥çς ¥õ¥ô¥ò¥é¥ê¥çς, ¥ê¥á¥é ¥ã¥å¥í¥é¥ê¥á ¥ï¥í¥ï¥ì¥á¥æ¥å¥ó¥á¥é ¥ô¥ë¥ç. ¥Ï ¥Ð¥á¥ð¥á¥í¥é¥ê¥ï¥ë¥á¥ï¥ô ¥ð¥å¥ñ¥é¥å¥ã¥ñ¥á¥÷¥å ¥ì¥é¥á ¥ì¥ï¥ñ¥õ¥ç ¥ï¥ô¥ä¥å¥ó¥å¥ñ¥ï¥ô ¥ì¥ï¥í¥é¥ò¥ì¥ï¥ô (¥ç ¥é¥ä¥å¥á ¥ï¥ó¥é ¥ó¥ï¥ò¥ï ¥ç ¥ô¥ë¥ç ¥ï¥ò¥ï ¥ê¥á¥é ¥ó¥ï ¥ð¥í¥å¥ô¥ì¥á ¥å¥é¥í¥á¥é ¥ä¥é¥á¥õ¥ï¥ñ¥å¥ó¥é¥ê¥åς ¥å¥ê¥õ¥á¥í¥ò¥å¥éς ¥å¥í¥ïς ¥á¥ë¥ë¥ï¥ô ¥ï¥í¥ó¥ïς, «¥Ê¥Á¥Ó¥É», ¥ó¥ï¥ô ¥ï¥ð¥ï¥é¥ï¥ô ¥ï¥é ¥é¥ä¥é¥ï¥ó¥ç¥ó¥åς ¥å¥é¥í¥á¥é ¥á¥ð¥ñ¥ï¥ò¥é¥ó¥åς) ¥ð¥ï¥ô ¥ï¥í¥ï¥ì¥á¥æ¥å¥ó¥á¥é ¥å¥ì¥ð¥å¥é¥ñ¥é¥ï¥ê¥ñ¥é¥ó¥é¥ê¥é¥ò¥ì¥ïς. ¥Ò¥ô¥ì¥ð¥á¥è¥ø ¥á¥ô¥ó¥ç ¥ó¥ç ¥ð¥ñ¥ï¥ò¥å¥ã¥ã¥é¥ò¥ç ¥å¥ð¥å¥é¥ä¥ç ¥á¥í¥ó¥á¥í¥á¥ê¥ë¥á ¥ó¥ï ¥ä¥é¥ò¥ó¥á¥ã¥ì¥ï ¥í¥á ¥ä¥å¥ò¥ì¥å¥ô¥ó¥å¥é ¥ê¥á¥í¥å¥éς ¥ò¥å ¥ð¥å¥ñ¥é¥ã¥ñ¥á¥õ¥åς ¥ó¥ï¥ô ¥ê¥ï¥ò¥ì¥ï¥ô ¥ð¥ï¥ô ¥ä¥é¥á¥ñ¥ê¥øς ¥á¥í¥á¥è¥å¥ø¥ñ¥ï¥ô¥í¥ó¥á¥é ¥ê¥á¥é ¥ì¥ð¥ï¥ñ¥å¥é ¥í¥á ¥á¥ð¥ï¥ä¥å¥é¥ö¥ó¥ï¥ô¥í ¥å¥ò¥á¥å¥é ¥ð¥ñ¥ï¥ò¥ø¥ñ¥é¥í¥åς. ¥Ø¥ò¥ó¥ï¥ò¥ï ¥ç ¥á¥ð¥ï¥÷¥ç ¥ó¥ï¥ô ¥Ð¥á¥ð¥á¥í¥é¥ê¥ï¥ë¥á¥ï¥ô (¥ê¥á¥é ¥ã¥å¥í¥é¥ê¥á ¥ï ¥å¥ì¥ð¥å¥é¥ñ¥é¥ï¥ê¥ñ¥é¥ó¥é¥ê¥é¥ò¥ì¥ïς) ¥ð¥á¥ò¥ö¥å¥é ¥á¥ð¥ï ¥ó¥á ¥å¥î¥çς ¥ð¥ñ¥ï¥â¥ë¥ç¥ì¥á¥ó¥á:
    1. ¥Ô¥ð¥ï¥í¥ï¥å¥é ¥ï¥ó¥é ¥ó¥ï ¥í¥ï¥ç¥ó¥é¥ê¥ï ¥á¥í¥á¥ä¥ô¥å¥ó¥á¥é ¥ê¥á¥ó¡¯¥å¥ô¥è¥å¥é¥á¥í ¥á¥ð¥ï ¥ó¥ï «¥Ê¥Á¥Ó¥É» (¥ð.¥ö., ¥ö¥ø¥ñ¥éς ¥ó¥ç ¥ì¥å¥ò¥ï¥ë¥á¥â¥ç¥ò¥ç ¥ó¥çς ¥ô¥ë¥çς). ¥Á¥ô¥ó¥ï ¥ó¥ï¥í ¥å¥ð¥é¥â¥á¥ñ¥ô¥í¥å¥é ¥ì¥å ¥ð¥å¥ñ¥é¥ò¥ò¥ï¥ó¥å¥ñ¥ç (¥ê¥á¥é ¥ï¥ö¥é ¥ë¥é¥ã¥ï¥ó¥å¥ñ¥ç) ¥å¥î¥ç¥ã¥ç¥ó¥é¥ê¥ç ¥ä¥ï¥ô¥ë¥å¥é¥á ¥á¥ð¥ï ¥á¥ô¥ó¥ç ¥ð¥ï¥ô ¥å¥ð¥é¥â¥á¥ñ¥ô¥í¥å¥é ¥ó¥ï¥í ¥ô¥ë¥é¥ò¥ó¥ç ¥ì¥ï¥í¥é¥ò¥ó¥ç. ¥Ê¥á¥ó¡¯¥á¥ñ¥ö¥ç¥í, ¥ô¥ð¥ï¥ö¥ñ¥å¥ï¥ô¥ó¥á¥é ¥í¥á ¥ä¥å¥é¥î¥å¥é ¥ð¥øς ¥á¥ð¥ï ¥ó¥ï «¥Ê¥Á¥Ó¥É» (¥ì¥å ¥ó¥éς ¥é¥ä¥é¥ï¥ó¥ç¥ó¥åς ¥ð¥ï¥ô ¥ó¥ï¥ô ¥å¥ä¥ø¥ò¥å ¥ï ¥Ð¥á¥ð¥á¥í¥é¥ê¥ï¥ë¥á¥ï¥ô ¥ï¥é ¥ï¥ð¥ï¥é¥åς ¥ä¥å¥í ¥å¥é¥í¥á¥é ¥ð¥ï¥ë¥ë¥åς) ¥á¥í¥á¥ä¥ô¥ï¥í¥ó¥á¥é ¥á¥í¥ó¥é¥ê¥å¥é¥ì¥å¥í¥á ¥ð¥ï¥ô ¥ô¥ð¥á¥ê¥ï¥ô¥ï¥ô¥í ¥ó¥ï¥ôς ¥í¥ï¥ì¥ï¥ôς ¥ó¥çς ¥å¥ê¥á¥ò¥ó¥ï¥ó¥å ¥õ¥ô¥ò¥é¥ê¥çς (¥ð¥ï¥è¥å¥í ¥ä¥ç¥ë¥á¥ä¥ç ¥ï¥é ¥ã¥å¥í¥é¥ê¥åς ¥á¥ñ¥ö¥åς ¥ä¥é¥á¥ó¥ç¥ñ¥ç¥ò¥çς, ¥ò¥ô¥ì¥ì¥å¥ó¥ñ¥é¥áς ¥ê¥ë¥ð., ¥ð¥ï¥ô ¥ö¥á¥ñ¥á¥ê¥ó¥ç¥ñ¥é¥æ¥ï¥ô¥í ¥á¥ô¥ó¥ï ¥ð¥ï¥ô ¥ï¥ë¥ï¥é ¥ï¥í¥ï¥ì¥á¥æ¥ï¥ô¥ì¥å ¥ô¥ë¥ç). ¥Å¥ð¥é ¥ð¥ë¥å¥ï¥í, ¥ô¥ð¥ï¥ö¥ñ¥å¥ï¥ô¥ó¥á¥é ¥í¥á ¥å¥î¥ç¥ã¥ç¥ò¥å¥é ¥ð¥øς ¥á¥ð¥ï ¥ó¥ï ¥é¥ä¥é¥ï «¥Ê¥Á¥Ó¥É» ¥å¥ð¥é¥ò¥çς ¥á¥í¥á¥ä¥ô¥ï¥í¥ó¥á¥é ¥á¥ë¥ë¥á ¥á¥í¥ó¥é¥ê¥å¥é¥ì¥å¥í¥á ¥ð¥ï¥ô ¥ï ¥é¥ä¥é¥ïς ¥é¥ò¥ö¥ô¥ñ¥é¥æ¥å¥ó¥á¥é ¥ï¥ó¥é ¥ä¥å¥í ¥ô¥ð¥á¥ê¥ï¥ô¥ï¥ô¥í ¥ó¥ï¥ôς ¥í¥ï¥ì¥ï¥ôς ¥ó¥çς ¥å¥ê¥á¥ò¥ó¥ï¥ó¥å ¥õ¥ô¥ò¥é¥ê¥çς (¥ê¥á¥è¥ï¥ó¥é private, subjective, unique, ineffable, capricious, ¥ï,¥ó¥é ¥å¥í ¥ð¥á¥ò¥å¥é ¥ð¥å¥ñ¥é¥ð¥ó¥ø¥ò¥å¥é ¥ð¥å¥ñ¥é¥ò¥ò¥å¥ô¥å¥é ¥ï¥ó¥á¥í ¥ç ¥í¥å¥ô¥ñ¥ï¥õ¥ô¥ò¥é¥ï¥ë¥ï¥ã¥é¥á ¥ó¥å¥ë¥å¥é¥ø¥ò¥å¥é ¥ì¥å ¥ó¥á Qualia, ¥â¥ë. ¥Ò¥ç¥ì¥å¥é¥ï 4 ¥ð¥é¥ï ¥ð¥á¥í¥ø) ¥ê¥á¥é ¥ó¥á ¥ë¥å¥å¥é ¥ð¥í¥å¥ô¥ì¥á.
    2. ¥Ï ¥å¥ì¥ð¥å¥é¥ñ¥é¥ï¥ê¥ñ¥é¥ó¥é¥ê¥é¥ò¥ì¥ïς ¥å¥ö¥å¥é ¥í¥ï¥ç¥ì¥á (¥ä¥å¥í ¥á¥í¥á¥ã¥å¥ó¥á¥é ¥ë¥ï¥ã¥é¥ê¥á ¥ò¥å ¥ê¥á¥ð¥ï¥é¥ï¥ô ¥ó¥ô¥ð¥ï¥ô ¥ô¥ë¥é¥ò¥ó¥é¥ê¥ï ¥ì¥ï¥í¥é¥ò¥ì¥ï) ¥ì¥ï¥í¥ï ¥á¥í ¥è¥å¥ø¥ñ¥ç¥ò¥å¥é ¥ê¥á¥í¥å¥éς ¥ï¥ó¥é ¥ï¥é ¥é¥ä¥é¥ï¥ó¥ç¥ó¥åς ¥ó¥ï¥ô «¥Ê¥Á¥Ó¥É» ¥å¥é¥í¥á¥é in principle ¥á¥ð¥ñ¥ï¥ò¥é¥ó¥åς (¥ð¥ñ¥á¥ã¥ì¥á ¥ð¥ï¥ô ¥ä¥å¥í ¥å¥ö¥å¥é ¥ä¥å¥é¥î¥å¥é ¥ê¥á¥í¥å¥éς). ¥Å¥í ¥ì¥å¥ñ¥å¥é, ¥á¥ô¥ó¥ç ¥ç ¥ò¥ó¥á¥ò¥ç ¥ò¥ó¥ç¥ñ¥é¥æ¥å¥ó¥á¥é ¥ò¥ó¥ç¥í ¥å¥í¥ó¥ô¥ð¥ø¥ò¥ç ¥ï¥ó¥é ¥ç ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ç ¥á¥ë¥ë¥á¥æ¥å¥é ¥ï¥ð¥ó¥é¥ê¥åς ¥ã¥ø¥í¥é¥åς ¥á¥í¥ó¥é ¥í¥á ¥ð¥ñ¥ï¥ï¥ä¥å¥ô¥å¥é (¥ò¥å ¥ï¥ò¥ï¥ôς ¥í¥ï¥ì¥é¥æ¥ï¥ô¥í ¥å¥ó¥ò¥é, ¥ï¥ð¥øς ¥ð.¥ö., ¥ï ¥Ð¥á¥ð¥á¥ä¥ç¥ì¥ç¥ó¥ñ¥é¥ï¥ô, ¥ò¥ô¥í¥é¥ò¥ó¥ø ¥á¥í¥å¥ð¥é¥õ¥ô¥ë¥á¥ö¥ó¥á ¥ó¥ï ¥ò¥ö¥å¥ó¥é¥ê¥á ¥ð¥ñ¥ï¥ò¥õ¥á¥ó¥ï ¥â¥é¥â¥ë¥é¥ï ¥ó¥ï¥ô Kitcher ¥ð¥á¥í¥ø ¥ò¥ó¥ï ¥è¥å¥ì¥á) ¥á¥ë¥ë¥á ¥ä¥å¥í ¥í¥ï¥ì¥é¥æ¥ø ¥ï¥ó¥é ¥í¥ï¥ì¥é¥ì¥ï¥ð¥ï¥é¥å¥é¥ó¥á¥é ¥á¥ð¥ï ¥ó¥ç ¥ì¥å¥ö¥ñ¥é ¥ó¥ø¥ñ¥á ¥é¥ò¥ó¥ï¥ñ¥é¥á ¥ó¥ø¥í ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ø¥í. ¥Ê¥á¥ó¥á¥ë¥á¥â¥á¥é¥í¥ø ¥ó¥ç¥í ¥á¥í¥ç¥ò¥ô¥ö¥é¥á ¥ð¥ï¥ô ¥ð¥ñ¥ï¥ê¥á¥ë¥å¥é ¥ç ¥á¥í¥á¥ã¥ê¥ç ¥í¥á ¥å¥ã¥ê¥á¥ó¥á¥ë¥ç¥õ¥è¥å¥é ¥ó¥ï ¥ê¥ï¥ò¥ì¥ï¥å¥é¥ä¥ø¥ë¥ï ¥ó¥çς ¥Í¥å¥ô¥ó¥ø¥í¥é¥áς ¥ì¥ç¥ö¥á¥í¥é¥ê¥çς ¥ã¥é¥á ¥ö¥á¥ñ¥ç ¥å¥ê¥å¥é¥í¥ø¥í ¥ð¥ï¥ô ¥ð¥ñ¥ï¥ò¥õ¥å¥ñ¥å¥é ¥ç ¥ò¥ö¥å¥ó¥é¥ê¥ï¥ó¥ç¥ó¥á ¥á¥ð¥ï ¥ó¥ç ¥ì¥é¥á ¥ì¥å¥ñ¥é¥á ¥ê¥á¥é ¥ç ¥ê¥â¥á¥í¥ó¥ï¥ì¥ç¥ö¥á¥í¥é¥ê¥ç ¥á¥ð¥ï ¥ó¥ç¥í ¥á¥ë¥ë¥ç. ¥Ø¥ò¥ó¥ï¥ò¥ï, ¥ï¥ò¥ï¥é ¥á¥ð¥ï ¥å¥ò¥áς ¥í¥ï¥ì¥é¥æ¥å¥ó¥å ¥ï¥ó¥é ¥ç ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ç ¥ä¥å¥í ¥ò¥ô¥í¥é¥ò¥ó¥á ¥ð¥ñ¥ï¥ï¥ä¥å¥ô¥ó¥é¥ê¥ç ¥ð¥ñ¥ï¥ò¥å¥ã¥ã¥é¥ò¥ç ¥ó¥çς ¥á¥ë¥ç¥è¥å¥é¥áς ¥ð¥ñ¥å¥ð¥å¥é ¥í¥á ¥å¥î¥ç¥ã¥ç¥ò¥å¥ó¥å ¥ã¥é¥á¥ó¥é ¥ï¥é ¥ð¥ñ¥ï¥â¥ë¥å¥÷¥å¥éς (¥ð.¥ö., ¥ð¥ï¥ô ¥è¥á ¥â¥ñ¥é¥ò¥ê¥å¥ó¥á¥é ¥ï ¥Å¥ñ¥ì¥çς 100 ¥ö¥ñ¥ï¥í¥é¥á ¥á¥ð¥ï ¥ó¥ø¥ñ¥á) ¥ì¥é¥áς ¥ë¥á¥í¥è¥á¥ò¥ì¥å¥í¥çς ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ï¥í¥é¥ê¥çς ¥è¥å¥ø¥ñ¥é¥áς (¥å¥í ¥ð¥ñ¥ï¥ê¥å¥é¥ì¥å¥í¥ø ¥ó¥çς ¥Í¥å¥ô¥ó¥ø¥í¥é¥áς ¥Ì¥ç¥ö¥á¥í¥é¥ê¥çς) ¥ì¥ð¥ï¥ñ¥å¥é ¥í¥á ¥å¥é¥í¥á¥é ¥ó¥ï¥ò¥ï ¥á¥ê¥ñ¥é¥â¥å¥éς (¥ç ¥ò¥ö¥å¥ó¥é¥ê¥é¥ò¥ó¥é¥ê¥ç ¥ä¥é¥ï¥ñ¥è¥ø¥ò¥ç ¥ó¥çς ¥ó¥ñ¥ï¥ö¥é¥áς ¥ó¥ï¥ô ¥Å¥ñ¥ì¥ç ¥ð¥ï¥ô ¥è¥á ¥ö¥ñ¥å¥é¥á¥ò¥ó¥å¥é¥ó¥å ¥å¥é¥í¥á¥é ¥é¥ò¥ç ¥ð¥å¥ñ¥é¥ð¥ï¥ô ¥ì¥å ¥ó¥ï ¥å¥í¥á ¥å¥ê¥á¥ó¥ï¥ò¥ó¥ï ¥ó¥çς ¥ì¥ï¥é¥ñ¥áς) ¥ê¥á¥é ¥ê¥ô¥ñ¥é¥øς ¥ã¥é¥á¥ó¥é ¥ï¥é ¥ð¥ñ¥ï¥â¥ë¥å¥÷¥å¥éς ¥ó¥çς ¥å¥é¥í¥á¥é ¥ó¥ï¥ò¥ï ¥ð¥é¥ï ¥ð¥é¥ò¥ó¥åς ¥á¥ð¥ï ¥ï¥ó¥é ¥á¥ë¥ë¥åς ¥á¥í¥è¥ñ¥ø¥ð¥é¥í¥åς ¥ð¥ñ¥ï¥ò¥ð¥á¥è¥å¥é¥åς ¥í¥á ¥ð¥ñ¥ï¥â¥ë¥å¥õ¥è¥å¥é ¥ó¥ï ¥ì¥å¥ë¥ë¥ï¥í (¥ð.¥ö., ¥á¥ò¥ó¥ñ¥ï¥ë¥ï¥ã¥é¥á, ¥ö¥å¥é¥ñ¥ï¥ì¥á¥í¥ó¥å¥é¥á, ¥ê¥ë¥ð.). ¥Ó¥å¥ë¥ïς, ¥á¥ê¥ï¥ì¥ç ¥ê¥á¥é ¥á¥í ¥ì¥ð¥ï¥ñ¥ï¥ô¥ò¥á¥ó¥å ¥í¥á ¥ä¥å¥é¥î¥å¥ó¥å ¥ï¥ó¥é ¥ô¥ð¥á¥ñ¥ö¥å¥é ¥å¥í¥áς ¥ò¥ê¥ë¥ç¥ñ¥ïς ¥ð¥ô¥ñ¥ç¥í¥áς ¥ó¥ï¥ô «¥Ê¥Á¥Ó¥É» ¥å¥ò¥á¥å¥é ¥á¥ð¥ñ¥ï¥ò¥é¥ó¥ïς (¥ò¥å ¥ï,¥ó¥é ¥á¥õ¥ï¥ñ¥á ¥ó¥á ¥ð¥ï¥ë¥ô ¥ì¥å¥ã¥á¥ë¥á, ¥ó¥á ¥ð¥ï¥ë¥ô ¥ì¥é¥ê¥ñ¥á, ¥ó¥á ¥ð¥ï¥ë¥ô ¥ì¥á¥ê¥ñ¥é¥í¥á ¥ê¥á¥é ¥ó¥á ¥ð¥ï¥ë¥ô ¥ð¥á¥ë¥é¥á) ¥ð¥á¥ë¥é ¥ä¥å¥í ¥è¥á ¥ì¥ð¥ï¥ñ¥ï¥ô¥ò¥á¥ó¥å ¥í¥á ¥ò¥ô¥í¥á¥ã¥å¥ó¥å ¥á¥ð¥ï ¥á¥ô¥ó¥ï ¥ó¥é¥ð¥ï¥ó¥å ¥å¥í¥ä¥é¥á¥õ¥å¥ñ¥ï¥í ¥ã¥é¥á ¥ó¥éς ¥ä¥é¥á¥è¥å¥ø¥ñ¥ç¥ó¥é¥ê¥åς ¥á¥í¥á¥ã¥ø¥ã¥åς ¥ð¥ï¥ô ¥á¥õ¥ï¥ñ¥ï¥ô¥í ¥ó¥ç ¥ò¥ô¥æ¥ç¥ó¥ç¥ò¥ç ¥ì¥áς (¥ç¥ó¥ï¥é ¥ó¥á ¥æ¥å¥ô¥ã¥ç ¥×¥ô¥ö¥ï¥ë¥ï¥ã¥é¥á/ ¥Í¥å¥ô¥ñ¥ï¥å¥ð¥é¥ò¥ó¥ç¥ì¥åς, ¥Í¥å¥ô¥ñ¥ï¥å¥ð¥é¥ò¥ó¥ç¥ì¥åς/¥Â¥é¥ï¥ë¥ï¥ã¥é¥á, ¥Í¥å¥ô¥ñ¥ï¥å¥ð¥é¥ò¥ó¥ç¥ì¥åς/¥Õ¥ô¥ò¥é¥ê¥ç,  ¥ê¥ë¥ð.) ¥ä¥å¥ä¥ï¥ì¥å¥í¥ï¥ô ¥ï¥ó¥é ¥á¥ô¥ó¥åς ¥á¥õ¥ï¥ñ¥ï¥ô¥í ¥ê¥ë¥é¥ì¥á¥ê¥åς ¥ì¥å¥ã¥å¥è¥ï¥ôς ¥ä¥é¥á¥õ¥ï¥ñ¥å¥ó¥é¥ê¥åς ¥á¥ð¥ï ¥å¥ê¥å¥é¥í¥åς ¥ð¥ï¥ô ¥á¥ð¥á¥ò¥ö¥ï¥ë¥ï¥ô¥í ¥ó¥ç ¥Õ¥ô¥ò¥é¥ê¥ç ¥á¥é¥ö¥ì¥çς. ¥Ì¥å ¥á¥ë¥ë¥á ¥ë¥ï¥ã¥é¥á ¥é¥ò¥ö¥ô¥ñ¥é¥æ¥ï¥ì¥á¥é ¥ï¥ó¥é ¥ä¥å¥í ¥å¥é¥í¥á¥é ¥á¥ð¥á¥ñ¥á¥é¥ó¥ç¥ó¥ï ¥í¥á ¥ï¥ë¥ï¥ê¥ë¥ç¥ñ¥ø¥è¥å¥é ¥ç ¥Õ¥ô¥ò¥é¥ê¥ç ¥ð¥ñ¥é¥í ¥í¥á ¥å¥ð¥é¥ö¥å¥é¥ñ¥ç¥ò¥ï¥ô¥ì¥å ¥ä¥é¥á¥è¥å¥ø¥ñ¥ç¥ó¥é¥ê¥ç ¥á¥í¥á¥ã¥ø¥ã¥ç ¥ó¥çς ¥×¥ô¥ö¥ï¥ë¥ï¥ã¥é¥áς ¥ò¥å ¥á¥ô¥ó¥ç (¥ç ¥ò¥ó¥ç ¥Â¥é¥ï¥ë¥ï¥ã¥é¥á, ¥ç ¥ò¥ó¥éς ¥Í¥å¥ô¥ñ¥ï¥å¥ð¥é¥ò¥ó¥ç¥ì¥åς) ¥ï¥ô¥ó¥å ¥ó¥ï ¥å¥í¥ä¥å¥ö¥ï¥ì¥å¥í¥ï ¥í¥á ¥ì¥ç ¥ï¥ë¥ï¥ê¥ë¥ç¥ñ¥ø¥è¥å¥é ¥ð¥ï¥ó¥å ¥ç ¥õ¥ô¥ò¥é¥ê¥ç ¥ë¥ï¥ã¥ø ¥ó¥çς ¥á¥í¥á¥ð¥ï¥ä¥å¥é¥ö¥ó¥çς ¥ð¥á¥ñ¥á¥ì¥å¥í¥ï¥ô¥ò¥áς ¥á¥ð¥ñ¥ï¥ò¥ä¥é¥ï¥ñ¥é¥ò¥ó¥é¥áς ¥ó¥ï¥ô «¥Ê¥Á¥Ó¥É» ¥ê¥á¥è¥é¥ò¥ó¥á ¥ó¥ç¥í ¥á¥í¥á¥ã¥ø¥ã¥ç ¥á¥ô¥ó¥ç ¥á¥ä¥ô¥í¥á¥ó¥ç.

 

  1. ¥Ñ¥å¥á¥ë¥é¥ò¥ì¥ïς ¥ê¥á¥é ¥ç ¥ã¥í¥ø¥ò¥ç ¥ó¥ø¥í ¥ð¥ñ¥á¥ã¥ì¥á¥ó¥ø¥í ¥ê¥á¥è¡¯¥å¥á¥ô¥ó¥á. ¥É¥É: ¥Ä¥å¥ä¥ï¥ì¥å¥í¥ø¥í ¥ó¥ø¥í ¥÷¥å¥ô¥ä¥á¥é¥ò¥è¥ç¥ò¥å¥ø¥í ¥ç ¥Â¥å¥í¥é¥å¥ñ¥ç ¥ä¥é¥á¥ó¥ô¥ð¥ø¥ò¥å ¥å¥ð¥é¥õ¥ô¥ë¥á¥î¥å¥éς ¥ò¥ö¥å¥ó¥é¥ê¥á ¥ì¥å ¥ó¥ï¥í ¥é¥ò¥ö¥ô¥ñ¥é¥ò¥ì¥ï ¥ï¥ó¥é ¥ï ¥å¥ã¥ê¥å¥õ¥á¥ë¥ïς ¥ì¥áς ¥å¥é¥í¥á¥é ¥ò¥å ¥è¥å¥ò¥ç ¥í¥á ¥ê¥á¥ó¥á¥í¥ï¥ç¥ò¥å¥é ¥ó¥ï ¥ê¥ï¥ò¥ì¥ï. ¥Ó¥ï ¥å¥ì¥ð¥å¥é¥ñ¥é¥ê¥ï ¥ô¥ð¥ï¥â¥á¥è¥ñ¥ï ¥ó¥çς ¥å¥é¥ò¥ç¥ã¥ç¥ò¥çς ¥ó¥çς ¥å¥é¥í¥á¥é ¥á¥í¥á¥í¥ó¥é¥ñ¥ñ¥ç¥ó¥ï: ¥ï ¥å¥ã¥ê¥å¥õ¥á¥ë¥ïς ¥ð¥ñ¥á¥ã¥ì¥á¥ó¥é ¥ì¥ð¥ï¥ñ¥å¥é ¥í¥á ¥ð¥á¥ñ¥á¥ã¥å¥é  ¥á¥í¥á¥ð¥á¥ñ¥á¥ò¥ó¥á¥ò¥å¥éς ¥å¥ê ¥ó¥ï¥ô ¥ì¥ç ¥ï¥í¥ó¥ïς. ¥Ó¥ï ¥á¥ð¥ë¥ï¥ô¥ò¥ó¥å¥ñ¥ï ¥ò¥ö¥å¥ó¥é¥ê¥ï ¥ð¥á¥ñ¥á¥ä¥å¥é¥ã¥ì¥á ¥ð¥ï¥ô ¥ì¥ð¥ï¥ñ¥ø ¥í¥á ¥ò¥ê¥å¥õ¥ó¥ø ¥å¥é¥í¥á¥é ¥ç ¥å¥ì¥ð¥å¥é¥ñ¥é¥á ¥õ¥ø¥ó¥å¥é¥í¥ø¥í ¥ê¥ç¥ë¥é¥ä¥ø¥í (phosphenes) ¥ð¥ï¥ô ¥â¥é¥ø¥í¥ï¥ô¥í ¥ô¥ð¥ï¥ê¥å¥é¥ì¥å¥í¥á ¥ò¥ó¥ï ¥ð¥ñ¥ø¥ó¥ï¥ó¥á¥ã¥ç ¥ï¥ð¥ó¥é¥ê¥ï ¥õ¥ë¥ï¥é¥ï ¥ó¥ø¥í ¥ï¥ð¥ï¥é¥ø¥í ¥ä¥é¥ï¥ö¥å¥ó¥å¥ô¥å¥ó¥á¥é ¥ç¥ë¥å¥ê¥ó¥ñ¥é¥ê¥ï ¥ñ¥å¥ô¥ì¥á ¥ì¥å¥ò¥ø ¥ç¥ë¥å¥ê¥ó¥ñ¥ï¥ä¥é¥ø¥í (¥ç ¥è¥å¥ò¥ç ¥ó¥ø¥í ¥ï¥ð¥ï¥é¥ø¥í ¥ì¥á¥ë¥é¥ò¥ó¥á ¥ê¥á¥è¥ï¥ñ¥é¥æ¥å¥é ¥é¥ä¥é¥ï¥ó¥ç¥ó¥åς ¥ó¥ø¥í ¥õ¥ø¥ó¥å¥é¥í¥ø¥í ¥ê¥ç¥ë¥é¥ä¥ø¥í). ¥Ó¥é ¥í¥ï¥ì¥é¥ì¥ï¥ð¥ï¥é¥ï¥ô¥ì¥á¥ò¥ó¥å ¥í¥á ¥ò¥ô¥ì¥ð¥å¥ñ¥á¥í¥ï¥ô¥ì¥å ¥á¥ð¥ï ¥á¥ô¥ó¥ï; ¥Ó¥é¥ð¥ï¥ó¥å ¥ð¥á¥ñ¥á ¥ð¥á¥í¥ø ¥á¥ð¥ï ¥ó¥ï ¥ï¥ó¥é ¥ç ¥å¥í¥ó¥ô¥ð¥ø¥ò¥ç ¥ð¥ï¥ô ¥å¥ö¥ï¥ô¥ì¥å ¥ã¥é¥á ¥ó¥ï ¥ê¥ï¥ò¥ì¥ï (¥Á) ¥å¥é¥í¥á¥é ¥ð¥ñ¥ï¥é¥ï¥í ¥ó¥çς ¥ð¥ñ¥á¥î¥çς (F) ¥ð¥ï¥ô ¥å¥ê¥ó¥å¥ë¥å¥é ¥ï ¥å¥ã¥ê¥å¥õ¥á¥ë¥ïς ¥ì¥áς ¥ð¥á¥í¥ø ¥ò¥ó¥á ¥ò¥ç¥ì¥á¥ó¥á (S) ¥ð¥ï¥ô ¥ä¥å¥ö¥å¥ó¥á¥é ¥á¥ð¥ï ¥ó¥ï ¥ê¥ï¥ò¥ì¥ï:

 

A=SxF

 

¥ï¥ð¥ï¥ô x ¥å¥é¥í¥á¥é ¥ê¥á¥ð¥ï¥é¥á ¥ð¥ñ¥á¥î¥ç[3]. ¥Ã¥é¥á ¥í¥á ¥ã¥í¥ø¥ñ¥é¥ò¥ï¥ô¥ì¥å ¥ó¥ï ¥ê¥ï¥ò¥ì¥ï ¥ê¥á¥è¡¯¥å¥á¥ô¥ó¥ï¥í (¥ó¥ï S) ¥ð¥ñ¥å¥ð¥å¥é ¥ê¥á¥é ¥á¥ñ¥ê¥å¥é ¥í¥á ¥å¥ê¥ó¥å¥ë¥å¥ò¥ï¥ô¥ì¥å ¥ð¥á¥í¥ø ¥ò¥ó¥ï A ¥ó¥ç¥í ¥á¥í¥ó¥é¥ò¥ó¥ñ¥ï¥õ¥ç ¥ð¥ñ¥á¥î¥ç F^(-1).

 

AxF^(-1)=Sx(F/F)=S

 

¥Ç ¥ð¥ñ¥ï¥ò¥å¥ã¥ã¥é¥ò¥ç ¥á¥ô¥ó¥ç ¥å¥é¥í¥á¥é ¥ë¥é¥ã¥ø¥ó¥å¥ñ¥ï ¥å¥î¥ø¥ó¥é¥ê¥ç ¥á¥ð¥ï ¥ï¥ó¥é ¥ì¥ð¥ï¥ñ¥å¥é ¥í¥á ¥ì¥ï¥é¥á¥æ¥å¥é ¥á¥ð¥ï ¥ð¥ñ¥ø¥ó¥ç ¥á¥ð¥ï¥÷¥ç. ¥Ð¥á¥ñ¥á¥ä¥å¥é¥ã¥ì¥á¥ó¥ïς ¥ö¥á¥ñ¥é¥í, ¥ö¥ñ¥ç¥ò¥é¥ì¥ï¥ð¥ï¥é¥å¥é¥ó¥á¥é ¥ê¥á¥è¥ç¥ì¥å¥ñ¥é¥í¥á ¥ò¥å ¥ò¥ô¥í¥å¥ò¥ó¥é¥á¥ê¥á ¥ì¥é¥ê¥ñ¥ï¥ò¥ê¥ï¥ð¥é¥á (¥á¥ô¥ó¥á ¥ð¥ï¥ô ¥ö¥ñ¥ç¥ò¥é¥ì¥ï¥ð¥ï¥é¥ï¥ô¥í deconvolution algorithms ¥ã¥é¥á ¥í¥á ¥ä¥ç¥ì¥é¥ï¥ô¥ñ¥ã¥ç¥ò¥ï¥ô¥í ¥å¥é¥ê¥ï¥í¥åς ¥ó¥ï¥ô ¥é¥ò¥ó¥ï¥ô ¥á¥í¥å¥ð¥ç¥ñ¥å¥á¥ò¥ó¥åς ¥á¥ð¥ï ¥ó¥éς ¥ï¥ð¥ó¥é¥ê¥åς ¥é¥ä¥é¥ï¥ó¥ç¥ó¥åς ¥ó¥ï¥ô ¥ì¥é¥ê¥ñ¥ï¥ò¥ê¥ï¥ð¥é¥ï¥ô) ¥ê¥á¥é ¥å¥ð¥é¥ó¥á¥ö¥ô¥í¥ó¥åς. ¥Ï¥ô¥ó¥å ¥å¥é¥í¥á¥é ¥ð¥ï¥ë¥ô ¥ð¥ñ¥ï¥ò¥õ¥á¥ó¥ç. ¥Ï Tycho Brahe ¥å¥é¥ö¥å ¥ä¥é¥á¥ð¥é¥ò¥ó¥ø¥ò¥å¥é ¥ï¥ó¥é ¥ç ¥ä¥é¥á¥ì¥å¥ó¥ñ¥ïς ¥ó¥çς ¥ò¥å¥ë¥ç¥í¥çς ¥ï¥ð¥øς ¥ì¥å¥ó¥ñ¥é¥å¥ó¥á¥é ¥ì¥å ¥ò¥ô¥ò¥ê¥å¥ô¥åς ¥ð¥ï¥ô ¥ä¥é¥á¥è¥å¥ó¥ï¥ô¥í ¥ä¥é¥á¥õ¥ñ¥á¥ã¥ì¥á ¥ì¥é¥ê¥ñ¥çς ¥á¥ê¥ó¥é¥í¥áς (¥ç ¥ë¥å¥ã¥ï¥ì¥å¥í¥ç pinhole camera ¥ó¥çς ¥å¥ð¥ï¥ö¥çς) ¥å¥é¥ía¥é ¥ì¥é¥ê¥ñ¥ï¥ó¥å¥ñ¥ç ¥ê¥á¥ó¥á ¥ó¥ç ¥ä¥é¥á¥ñ¥ê¥å¥é¥á ¥ì¥é¥áς ¥å¥ê¥ë¥å¥é¥÷¥çς ¥ç¥ë¥é¥ï¥ô ¥á¥ð¥ï ¥ï¥ó¥é ¥ò¥å ¥á¥ë¥ë¥åς ¥ì¥å¥ó¥ñ¥ç¥ò¥å¥éς ¥ð¥á¥ñ¥á ¥ó¥ï ¥ï¥ó¥é ¥ç ¥ò¥å¥ë¥ç¥í¥ç ¥ä¥å¥í ¥å¥é¥í¥á¥é ¥ð¥é¥ï ¥ê¥ï¥í¥ó¥á ¥ò¥ó¥ç ¥ã¥ç. ¥Ä¥å¥ä¥ï¥ì¥å¥í¥ï¥ô ¥ï¥ó¥é ¥å¥í¥ä¥é¥á¥õ¥å¥ñ¥ï¥ó¥á¥í ¥í¥á ¥ö¥ñ¥ç¥ò¥é¥ì¥ï¥ð¥ï¥é¥ç¥ò¥å¥é ¥ó¥ç ¥ó¥å¥ö¥í¥é¥ê¥ç ¥á¥ô¥ó¥ç ¥ã¥é¥á ¥í¥á ¥ì¥å¥ë¥å¥ó¥ç¥ò¥å¥é ¥ó¥ç¥í ¥å¥ê¥ë¥å¥é¥÷¥ç ¥ç¥ë¥é¥ï¥ô ¥ó¥ï¥ô 1600, ¥ï Kepler ¥á¥ñ¥ö¥é¥ò¥å ¥í¥á ¥ä¥ñ¥á¥ò¥ó¥ç¥ñ¥é¥ï¥ð¥ï¥é¥å¥é¥ó¥á¥é ¥å¥í¥ó¥ï¥í¥á ¥ò¥ó¥ï ¥ð¥å¥ä¥é¥ï ¥ó¥çς ¥Ï¥ð¥ó¥é¥ê¥çς ¥ê¥á¥é ¥ó¥çς ¥Ï¥ñ¥á¥ò¥çς ¥ã¥é¥á ¥í¥á ¥ê¥á¥ó¥á¥ë¥ç¥î¥å¥é ¥ò¥ó¥ï ¥ò¥ô¥ì¥ð¥å¥ñ¥á¥ò¥ì¥á ¥ï¥ó¥é ¥ç ¥á¥é¥ó¥é¥á ¥ó¥ï¥ô ¥á¥é¥í¥é¥ã¥ì¥á¥ó¥ïς ¥ï¥õ¥å¥é¥ë¥å¥ó¥á¥é ¥ò¥ó¥ç¥í ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ç (¥ó¥ç¥í ¥Ï¥ð¥ó¥é¥ê¥ç ¥ê¥á¥é ¥ó¥ç¥í ¥Ï¥ñ¥á¥ò¥ç) ¥ó¥çς ¥å¥ð¥ï¥ö¥çς ¥ó¥ï¥ô.  ¥Á¥í¥á¥ã¥í¥ø¥ñ¥é¥æ¥ï¥í¥ó¥áς ¥ï¥ó¥é ¥ç ¥å¥ã¥ê¥ô¥ñ¥ï¥ó¥ç¥ó¥á ¥ê¥á¥è¥å ¥á¥ò¥ó¥ñ¥ï¥í¥ï¥ì¥é¥ê¥çς ¥ð¥á¥ñ¥á¥ó¥ç¥ñ¥ç¥ò¥çς ¥å¥î¥á¥ñ¥ó¥á¥ó¥á¥é ¥á¥ð¥ï ¥ì¥é¥á ¥ê¥á¥ë¥ç ¥è¥å¥ø¥ñ¥é¥á ¥ó¥çς O¥ñ¥á¥ò¥çς, ¥å¥ò¥ð¥å¥ô¥ò¥å ¥í¥á ¥å¥ð¥å¥î¥å¥ñ¥ã¥á¥ò¥ó¥å¥é ¥ì¥é¥á ¥ó¥å¥ó¥ï¥é¥á ¥è¥å¥ø¥ñ¥é¥á (¥ó¥ç ¥ð¥ñ¥ø¥ó¥ç ¥ì¥ï¥í¥ó¥å¥ñ¥í¥á ¥è¥å¥ø¥ñ¥é¥á ¥ó¥çς O¥ñ¥á¥ò¥çς). ¥Ó¥ç¥í ¥ä¥ç¥ì¥ï¥ò¥é¥å¥ô¥ò¥å ¥ò¥ó¥ï ¥Ð¥ñ¥ï¥ò¥è¥ç¥ê¥åς ¥ò¥ó¥ï ¥Â¥é¥ó¥å¥ë¥ë¥é¥ï ¥ó¥ï 1604 ¥ì¥á¥æ¥é ¥ì¥å ¥ó¥ï ¥á¥ê¥ï¥ë¥ï¥ô¥è¥ï ¥ò¥ö¥ï¥ë¥é¥ï[4]:

¥Ä¥å¥ä¥ï¥ì¥å¥í¥ï¥ô ¥ï¥ó¥é ¥ï¥é ¥ä¥é¥á¥ì¥å¥ó¥ñ¥ï¥é ¥ó¥ø¥í ¥ï¥ô¥ñ¥á¥í¥é¥ø¥í ¥ò¥ø¥ì¥á¥ó¥ø¥í ¥ê¥á¥é ¥ï¥é ¥ì¥å¥ó¥ñ¥ç¥ò¥å¥éς ¥ê¥á¥ó¥á ¥ó¥éς ¥å¥ê¥ë¥å¥é¥÷¥å¥éς ¥ç¥ë¥é¥ï¥ô ¥å¥ö¥ï¥ô¥í ¥è¥å¥ì¥å¥ë¥é¥ø¥ä¥ç ¥ò¥ç¥ì¥á¥ò¥é¥á  ¥ã¥é¥á ¥ó¥ï¥ôς ¥á¥ò¥ó¥ñ¥ï¥í¥ï¥ì¥ï¥ôς, [¥ð¥ñ¥å¥ð¥å¥é ¥í¥á ¥á¥í¥á¥ã¥í¥ø¥ñ¥é¥ò¥ï¥ô¥ì¥å ¥ï¥ó¥é] ¥ê¥á¥ð¥ï¥é¥á ¥ï¥õ¥è¥á¥ë¥ì¥á¥ð¥á¥ó¥ç ¥ô¥ð¥å¥é¥ò¥å¥ñ¥ö¥å¥ó¥á¥é, ¥ç ¥ï¥ð¥ï¥é¥á ¥ï¥õ¥å¥é¥ë¥å¥ó¥á¥é ¥å¥í ¥ì¥å¥ñ¥å¥é ¥ò¥ó¥ç¥í ¥ó¥å¥ö¥í¥é¥ê¥ç ¥ó¥çς ¥ð¥á¥ñ¥á¥ó¥ç¥ñ¥ç¥ò¥çς [¥ì¥å¥ò¥á ¥á¥ð¥ï ¥ì¥é¥ê¥ñ¥á ¥ä¥é¥á¥õ¥ñ¥á¥ã¥ì¥á¥ó¥á] ... ¥ê¥á¥é ¥å¥í ¥ì¥å¥ñ¥å¥é ¥ò¥ó¥ç¥í ¥é¥ä¥é¥á ¥ó¥ç¥í ¥ï¥ñ¥á¥ò¥ç. ¥Ê¥á¥é ¥á¥ô¥ó¥ç ¥ç ¥ï¥õ¥è¥á¥ë¥ì¥á¥ð¥á¥ó¥ç, ¥å¥õ¡¯¥ï¥ò¥ï¥í ¥ä¥å¥í ¥ó¥ç ¥ë¥á¥ì¥â¥á¥í¥ï¥ô¥ì¥å ¥ô¥ð¡¯¥ï¥÷¥ç ¥ì¥áς, ¥ä¥ç¥ì¥é¥ï¥ô¥ñ¥ã¥å¥é ¥ì¥å¥ã¥á¥ë¥åς ¥ä¥ô¥ò¥ê¥ï¥ë¥é¥åς ¥ò¥ó¥ï¥ôς ¥å¥ñ¥å¥ô¥í¥ç¥ó¥åς ¥ê¥á¥é ¥å¥ì¥ð¥ï¥ä¥é¥æ¥å¥é ¥ó¥ç¥í ¥å¥ð¥é¥ò¥ó¥ç¥ì¥ç ¥í¥á ¥ê¥ñ¥é¥í¥å¥é [¥ê¥á¥ó¥á¥ë¥ë¥ç¥ë¥á]. ¥Ë¥ï¥é¥ð¥ï¥í, ¥ç ¥å¥î¥ç¥ã¥ç¥ò¥ç ¥ó¥ï¥ô ¥ò¥õ¥á¥ë¥ì¥á¥ó¥ïς ¥ð¥ï¥ô ¥ï¥õ¥å¥é¥ë¥å¥ó¥á¥é ¥ò¥ó¥ç¥í ¥ï¥ñ¥á¥ò¥ç ¥ð¥ñ¥å¥ð¥å¥é ¥í¥á ¥á¥í¥á¥æ¥ç¥ó¥ç¥è¥å¥é ¥ò¥ó¥éς ¥ä¥ï¥ì¥åς ¥ê¥á¥é ¥ó¥ç ¥ë¥å¥é¥ó¥ï¥ô¥ñ¥ã¥é¥á ¥ó¥ï¥ô ¥é¥ä¥é¥ï¥ô ¥ó¥ï¥ô ¥ì¥á¥ó¥é¥ï¥ô. ¥Á¥í ¥ï¥é ¥õ¥ô¥ò¥é¥ê¥ï¥é Alhazen ¥ê¥á¥é Witelo, ¥ê¥á¥é ¥ì¥å¥ó¥á ¥á¥ð¥ï ¥á¥ô¥ó¥ï¥ôς ¥ï¥é ¥á¥í¥á¥ó¥ï¥ì¥ï¥é ¥ä¥é¥á¥ð¥ñ¥á¥ã¥ì¥á¥ó¥å¥ô¥ï¥í¥ó¥á¥í ¥á¥ô¥ó¥á ¥ó¥á ¥æ¥ç¥ó¥ç¥ì¥á¥ó¥á ¥ê¥á¥è¥á¥ñ¥á, ¥ì¥å ¥ò¥á¥õ¥ç¥í¥å¥é¥á ¥ê¥á¥é ¥ö¥ø¥ñ¥éς ¥í¥á ¥ä¥é¥á¥ê¥é¥í¥ä¥ô¥í¥å¥ô¥ï¥ô¥í ¥á¥â¥å¥â¥á¥é¥ï¥ó¥ç¥ó¥åς ¥è¥á ¥ì¥å ¥ã¥ë¥ô¥ó¥ø¥í¥á¥í ¥á¥ð¥ï ¥ó¥ç¥í ¥ô¥ð¥ï¥ö¥ñ¥å¥ø¥ò¥ç ¥í¥á ¥ò¥ô¥í¥å¥ö¥é¥ò¥ø ¥ó¥ï¥ô¥ó¥ï ¥ó¥ï ¥ê¥å¥õ¥á¥ë¥á¥é¥ï ¥ó¥ø¥í Paralipomena ad Vitellionem.

 

¥Ô¥é¥ï¥è¥å¥ó¥ø¥í¥ó¥áς ¥ó¥ï¥í ¥ð¥ñ¥ï¥â¥ë¥ç¥ì¥á¥ó¥é¥ò¥ì¥ï ¥ó¥çς ¥ó¥á¥é¥í¥é¥áς Matrix (¥ê¥á¥é ¥ó¥ï¥ô Hillary Putnam) ¥ç ¥Â¥å¥í¥é¥å¥ñ¥ç ¥ð¥ñ¥ï¥ö¥ø¥ñ¥ç¥ò¥å ¥ó¥ï ¥å¥ð¥é¥ö¥å¥é¥ñ¥ç¥ì¥á ¥ó¥çς ¥á¥ê¥ï¥ì¥ç ¥ð¥é¥ï ¥ð¥å¥ñ¥á. ¥Ô¥ð¥ï¥è¥å¥ò¥ó¥å ¥ï¥ó¥é ¥ï¥ë¥ï¥é ¥æ¥ï¥ô¥ì¥å ¥ì¥é¥á ¥å¥é¥ê¥ï¥í¥é¥ê¥ç ¥ð¥ñ¥á¥ã¥ì¥á¥ó¥é¥ê¥ï¥ó¥ç¥ó¥á ¥ê¥á¥ë¥ø¥ä¥é¥ø¥ì¥å¥í¥ï¥é ¥ò¥å ¥å¥í¥á ¥ì¥å¥ã¥á¥ë¥ï, ¥ã¥ñ¥ç¥ã¥ï¥ñ¥ï ¥ô¥ð¥ï¥ë¥ï¥ã¥é¥ò¥ó¥ç. ¥Ò¥ó¥ç¥í ¥ð¥å¥ñ¥é¥ð¥ó¥ø¥ò¥ç ¥á¥ô¥ó¥ç ¥ï¥ë¥á ¥ó¥á ¥ò¥ç¥ì¥á¥ó¥á ¥ð¥ï¥ô ¥ä¥å¥ö¥ï¥ì¥á¥ò¥ó¥å ¥ð¥ñ¥ï¥å¥ñ¥ö¥ï¥í¥ó¥á¥é ¥á¥ð¥ï ¥ó¥ï¥í ¥å¥í ¥ë¥ï¥ã¥ø ¥ô¥ð¥ï¥ë¥ï¥ã¥é¥ò¥ó¥ç. ¥Ä¥å¥í ¥å¥é¥ì¥á¥é ¥ò¥é¥ã¥ï¥ô¥ñ¥ïς ¥ð¥ï¥ò¥ï ¥ì¥á¥ê¥ñ¥é¥á ¥è¥å¥ë¥å¥é ¥ç ¥Â¥å¥í¥é¥å¥ñ¥ç ¥í¥á ¥ð¥á¥å¥é ¥ì¥å ¥á¥ô¥ó¥ï ¥ó¥ï ¥å¥ð¥é¥ö¥å¥é¥ñ¥ç¥ì¥á. ¥Ò¥ó¥ï ¥å¥ò¥ö¥á¥ó¥ï ¥ï¥ñ¥é¥ï ¥ó¥ï¥ô, ¥è¥å¥ø¥ñ¥å¥é ¥ï¥ó¥é ¥ï ¥å¥î¥ø ¥ê¥ï¥ò¥ì¥ïς ¥ä¥å¥í ¥å¥é¥í¥á¥é ¥ó¥é¥ð¥ï¥ó¥å ¥á¥ë¥ë¥ï ¥á¥ð¥ï ¥ó¥ï¥í ¥ô¥ð¥ï¥ë¥ï¥ã¥é¥ò¥ó¥ç ¥ê¥á¥é ¥ó¥á ¥ê¥á¥ë¥ø¥ä¥é¥á ¥ð¥ï¥ô ¥ì¥áς ¥ò¥ô¥í¥ä¥å¥ï¥ô¥í ¥ì¥å ¥á¥ô¥ó¥ï¥í ¥ï¥ð¥ï¥ó¥å ¥ó¥ï ¥å¥ð¥é¥ö¥å¥é¥ñ¥ç¥ì¥á ¥ó¥çς ¥ä¥å¥í ¥ä¥é¥á¥õ¥å¥ñ¥å¥é ¥á¥ð¥ï ¥å¥ê¥å¥é¥í¥ï ¥ó¥ï¥ô ¥é¥ä¥å¥á¥ë¥é¥ò¥ó¥é¥ê¥ï¥ô ¥ì¥ï¥í¥é¥ò¥ì¥ï¥ô (¥ï¥ð¥ï¥ô ¥ï Matrix ¥á¥í¥ó¥é¥ê¥á¥è¥é¥ò¥ó¥á ¥ó¥ï ¥È¥å¥ï ¥ò¥ó¥ï ¥ñ¥ï¥ë¥ï ¥ó¥ï¥ô ¥ò¥ô¥í¥ó¥ï¥í¥é¥ò¥ó¥ç ¥ó¥ø¥í ¥â¥é¥ø¥ì¥á¥ó¥ø¥í ¥ó¥ø¥í ¥ê¥á¥ë¥ø¥ä¥é¥ø¥ì¥å¥í¥ø¥í). ¥Ç ¥ò¥ô¥í¥ï¥ö¥ç ¥ê¥á¥é ¥ó¥á ¥ð¥ñ¥ï¥â¥ë¥ç¥ì¥á¥ó¥á ¥ó¥ï¥ô ¥é¥ä¥å¥á¥ë¥é¥ò¥ó¥é¥ê¥ï¥ô ¥ì¥ï¥í¥é¥ò¥ì¥ï¥ô ¥å¥é¥í¥á¥é ¥ð¥å¥ñ¥á ¥á¥ð¥ï ¥ó¥éς ¥á¥í¥á¥ã¥ê¥åς ¥ó¥çς ¥ó¥ø¥ñ¥é¥í¥çς ¥ì¥áς ¥ê¥ï¥ô¥â¥å¥í¥ó¥áς (¥ï¥é ¥å¥í¥ä¥é¥á¥õ¥å¥ñ¥ï¥ì¥å¥í¥ï¥é ¥ì¥ð¥ï¥ñ¥ï¥ô¥í ¥í¥á ¥á¥í¥á¥ó¥ñ¥å¥î¥ï¥ô¥í ¥ò¥å ¥ð¥ñ¥ï¥ç¥ã¥ï¥ô¥ì¥å¥í¥á ¥ò¥ö¥ï¥ë¥é¥á ¥ì¥ï¥ô ¥ò¥ó¥éς ¥á¥ð¥ï¥÷¥å¥éς ¥ó¥ï¥ô ¥Ð¥á¥ð¥á¥ä¥ï¥ð¥ï¥ô¥ë¥ï¥ô).

 

8.            ¥Å¥ë¥å¥ô¥è¥å¥ñ¥é¥á ¥ó¥çς ¥â¥ï¥ô¥ë¥ç¥ò¥çς. ¥Ó¥é ¥è¥å¥ò¥ç ¥è¥á ¥å¥é¥ö¥å ¥á¥ñ¥á¥ã¥å ¥ç ¥å¥ë¥å¥ô¥è¥å¥ñ¥é¥á ¥ó¥çς ¥â¥ï¥ô¥ë¥ç¥ò¥çς ¥ò¥å ¥å¥í¥á ¥ê¥ï¥ò¥ì¥ï ¥ð¥ï¥ô ¥å¥ð¥é¥ó¥ñ¥å¥ð¥å¥é ¥ä¥é¥á¥è¥å¥ø¥ñ¥ç¥ó¥é¥ê¥ç ¥á¥í¥á¥ã¥ø¥ã¥ç ¥ó¥çς ¥×¥ô¥ö¥ï¥ë¥ï¥ã¥é¥áς ¥ò¥å ¥Í¥å¥ô¥ñ¥ï¥å¥ð¥é¥ò¥ó¥ç¥ì¥ç (¥ê¥á¥é ¥ó¥ç¥í ¥øς ¥å¥ê ¥ó¥ï¥ô¥ó¥ï¥ô ¥ï¥í¥ó¥ï¥ë¥ï¥ã¥é¥ê¥ç ¥á¥í¥á¥ã¥ø¥ã¥ç ¥ó¥çς ¥ò¥ô¥í¥å¥é¥ä¥ç¥ò¥çς ¥ò¥å ¥ä¥ñ¥á¥ò¥ó¥ç¥ñ¥é¥ï¥ó¥ç¥ó¥á ¥í¥å¥ô¥ñ¥ø¥í¥é¥ê¥ø¥í ¥ê¥ô¥ê¥ë¥ø¥ì¥á¥ó¥ø¥í); ¥Ä¥å¥ä¥ï¥ì¥å¥í¥ï¥ô ¥ï¥ó¥é ¥ï ¥ê¥ï¥ò¥ì¥ïς ¥å¥é¥í¥á¥é ¥í¥ó¥å¥ó¥å¥ñ¥ì¥é¥í¥é¥ò¥ó¥é¥ê¥ïς ¥ì¥å ¥ó¥ç¥í ¥å¥í¥í¥ï¥é¥á ¥ó¥ï¥ô ¥Ö¥á¥ì¥é¥ë¥ó¥ï¥í (¥õ¥ó¥é¥á¥ã¥ì¥å¥í¥ïς ¥á¥ð¥ï ¥ò¥õ¥á¥é¥ñ¥åς ¥ð¥ï¥ô ¥ê¥é¥í¥ï¥ô¥í¥ó¥á¥é ¥ê¥á¥é ¥ò¥ô¥ã¥ê¥ñ¥ï¥ô¥ï¥í¥ó¥á¥é ¥á¥í¥å¥ë¥á¥ò¥ó¥é¥ê¥á) ¥ç ¥ê¥ë¥á¥ò¥ò¥é¥ê¥ç ¥á¥ð¥á¥í¥ó¥ç¥ò¥ç ¥ó¥ç¥í ¥ï¥ð¥ï¥é¥á ¥ð¥å¥ñ¥é¥å¥ã¥ñ¥á¥÷¥á ¥ò¥ó¥ï¥í ¥ð¥ñ¥ø¥ó¥ï ¥ã¥ô¥ñ¥ï ¥ó¥ø¥í ¥ò¥ô¥æ¥ç¥ó¥ç¥ò¥å¥ø¥í ¥ì¥áς, ¥ê¥á¥é ¥ó¥ç¥í ¥ï¥ð¥ï¥é¥á ¥ö¥ñ¥ø¥ò¥ó¥á¥ì¥å ¥ò¥ó¥ï ¥Ë¥á¥ð¥ë¥áς, ¥å¥é¥í¥á¥é «¥ê¥á¥ì¥ì¥é¥á». ¥Ó¥ï ¥ò¥ô¥ì¥ð¥á¥í ¥ä¥å¥í ¥ê¥ñ¥ô¥â¥å¥é ¥ê¥á¥ì¥ì¥é¥á ¥å¥ê¥ð¥ë¥ç¥î¥ç ¥ã¥é¥á ¥ï¥í¥ó¥á ¥ð¥ï¥ô ¥ã¥í¥ø¥ñ¥é¥æ¥ï¥ô¥í ¥ó¥á ¥ð¥á¥í¥ó¥á ¥ã¥é¥á ¥ó¥ç¥í ¥ó¥á¥ö¥ô¥ó¥ç¥ó¥á ¥ê¥á¥é ¥ó¥ç ¥è¥å¥ò¥ç ¥ï¥ë¥ø¥í ¥ó¥ø¥í ¥ò¥õ¥á¥é¥ñ¥ø¥í ¥ì¥é¥á ¥ö¥ñ¥ï¥í¥é¥ê¥ç ¥ò¥ó¥é¥ã¥ì¥ç t (¥ð.¥ö., ¥è¥å¥ï¥ôς) ¥ê¥á¥é ¥ç ¥å¥ë¥å¥ô¥è¥å¥ñ¥é¥á ¥ó¥çς ¥â¥ï¥ô¥ë¥ç¥ò¥çς ¥å¥é¥í¥á¥é ¥ç ¥á¥ð¥á¥ó¥ç¥ë¥ç ¥å¥í¥ó¥ô¥ð¥ø¥ò¥ç ¥ð¥ï¥ô ¥å¥ö¥ï¥ô¥í ¥ã¥é¥á ¥ó¥ç¥í ¥ê¥á¥ó¥á¥ò¥ó¥á¥ò¥ç ¥ó¥ï¥ô ¥ê¥ï¥ò¥ì¥ï¥ô ¥ï¥í¥ó¥á ¥ð¥å¥ñ¥é¥ï¥ñ¥é¥ò¥ì¥å¥í¥ø¥í ¥ã¥í¥ø¥ò¥å¥ø¥í. ¥Á¥ë¥ë¥ø¥ò¥ó¥å, ¥á¥ô¥ó¥ï ¥ò¥ô¥í¥á¥ä¥å¥é ¥ì¥å ¥ó¥ç¥í ¥á¥í¥è¥ñ¥ø¥ð¥é¥í¥ç ¥ê¥á¥ó¥á¥ò¥ó¥á¥ò¥ç ¥ð¥ï¥ô ¥ð¥å¥ñ¥é¥å¥ã¥ñ¥á¥÷¥å ¥ò¥ó¥ç¥í ¥å¥é¥ò¥ç¥ã¥ç¥ò¥ç ¥ó¥ï¥ô ¥ï ¥Ê¥å¥ñ¥á¥ò¥é¥ä¥çς. ¥Á¥ô¥ó¥ç ¥å¥é¥í¥á¥é ¥ó¥ï¥ò¥ï ¥â¥ï¥ô¥ë¥ç¥ó¥é¥ê¥á ¥á¥í¥å¥ë¥å¥ô¥è¥å¥ñ¥ç ¥ò¥å ¥å¥ð¥é¥ð¥å¥ä¥ï ¥×¥ô¥ö¥ï¥ë¥ï¥ã¥é¥áς ¥ø¥ò¥ó¥å ¥í¥á ¥ì¥ç¥í ¥ó¥é¥è¥å¥ó¥á¥é ¥ð¥ñ¥ï¥ò¥è¥å¥ó¥ï ¥æ¥ç¥ó¥ç¥ì¥á ¥å¥ë¥å¥ô¥è¥å¥ñ¥é¥áς ¥ó¥çς ¥â¥ï¥ô¥ë¥ç¥ò¥çς ¥ë¥ï¥ã¥ø ¥ó¥çς ¥á¥í¥á¥ã¥ø¥ã¥çς ¥ó¥çς ¥×¥ô¥ö¥ï¥ë¥ï¥ã¥é¥áς ¥ò¥ó¥ç ¥Â¥é¥ï¥ë¥ï¥ã¥é¥á, ¥á¥ô¥ó¥çς ¥ò¥ó¥ç ¥Ö¥ç¥ì¥å¥é¥á, ¥ê¥ë¥ð. ¥ò¥å ¥å¥í¥á ¥ê¥ï¥ò¥ì¥ï ¥ó¥ô¥ð¥ï¥ô ¥Ö¥á¥ì¥é¥ë¥ó¥ï¥í. ¥Ì¥é¥á ¥ä¥å¥ô¥ó¥å¥ñ¥ç ¥å¥ê¥ä¥ï¥ö¥ç (¥ó¥ç¥í ¥ï¥ð¥ï¥é¥á ¥å¥ð¥é¥ò¥çς ¥ð¥å¥ñ¥é¥å¥ã¥ñ¥á¥÷¥á ¥ò¥ó¥ï¥ôς ¥ð¥ñ¥ø¥ó¥ï¥ôς ¥ã¥ô¥ñ¥ï¥ôς ¥ó¥ø¥í ¥ò¥ô¥æ¥ç¥ó¥ç¥ò¥å¥ø¥í ¥ì¥áς), ¥ò¥ô¥í¥á¥ã¥å¥ó¥á¥é ¥á¥ð¥ï ¥ó¥ç ¥ð¥é¥ï ¥ò¥ô¥ã¥ö¥ñ¥ï¥í¥ç ¥á¥í¥ó¥á¥ë¥ë¥á¥ã¥ç ¥ó¥ï¥ô ¥Ö¥á¥ì¥é¥ë¥ó¥ï¥í¥é¥á¥í¥ï¥ô ¥ò¥ô¥ì¥ð¥á¥í¥ó¥ïς ¥ì¥å ¥å¥í¥á ¥ö¥á¥ï¥ó¥é¥ê¥ï (¥ê¥á¥é ¥á¥ñ¥á ¥å¥î¥á¥é¥ñ¥å¥ó¥é¥ê¥á ¥å¥ô¥á¥é¥ò¥è¥ç¥ó¥ï ¥ò¥å ¥á¥ñ¥ö¥é¥ê¥åς ¥ò¥ô¥í¥è¥ç¥ê¥åς). ¥Á¥ô¥ó¥ç ¥ç ¥å¥ê¥ä¥ï¥ö¥ç ¥á¥ê¥ô¥ñ¥ø¥í¥å¥é ¥ó¥ï ¥Ë¥á¥ð¥ë¥á¥ò¥é¥á¥í¥ï ¥å¥ð¥é¥ö¥å¥é¥ñ¥ç¥ì¥á ¥ì¥ï¥í¥ï ¥ê¥á¥ó¥á ¥ó¥ï ¥ï¥ó¥é ¥ï ¥ð¥á¥í¥ó¥ï¥ã¥í¥ø¥ò¥ó¥çς ¥ð¥ñ¥å¥ð¥å¥é ¥í¥á ¥å¥é¥í¥á¥é ¥ð¥ï¥ë¥ô ¥ð¥ñ¥ï¥ò¥å¥ê¥ó¥é¥ê¥ïς ¥ò¥ó¥ï ¥ð¥ñ¥ï¥ò¥ä¥é¥ï¥ñ¥é¥ò¥ì¥ï ¥ó¥ø¥í ¥á¥ñ¥ö¥é¥ê¥ø¥í ¥ò¥ô¥í¥è¥ç¥ê¥ø¥í. ¥Ø¥ò¥ó¥ï¥ò¥ï ¥å¥í¥á ¥ó¥å¥ó¥ï¥é¥ï ¥ò¥ô¥ì¥ð¥á¥í ¥ä¥å¥í ¥å¥é¥í¥á¥é ¥ë¥é¥ã¥ï¥ó¥å¥ñ¥ï ¥í¥ó¥å¥ó¥å¥ñ¥ì¥é¥í¥é¥ò¥ó¥é¥ê¥ï ¥ê¥á¥é ¥å¥é¥í¥á¥é ¥á¥ì¥õ¥é¥â¥ï¥ë¥ï ¥á¥í ¥í¥ï¥ì¥é¥ì¥ï¥ð¥ï¥é¥å¥é ¥ê¥á¥ë¥ô¥ó¥å¥ñ¥á ¥ó¥ç¥í ¥å¥í¥ó¥ô¥ð¥ø¥ò¥ç ¥ï¥ó¥é ¥ä¥é¥á¥è¥å¥ó¥ï¥ô¥ì¥å ¥å¥ë¥å¥ô¥è¥å¥ñ¥é¥á ¥â¥ï¥ô¥ë¥ç¥ò¥çς.

         ¥Ì¥é¥á ¥ó¥ñ¥é¥ó¥ç ¥å¥ê¥ä¥ï¥ö¥ç ¥å¥é¥í¥á¥é ¥á¥ô¥ó¥ç ¥ð¥ï¥ô ¥ð¥å¥ñ¥é¥å¥ã¥ñ¥á¥÷¥á ¥ð¥ñ¥ï¥ò¥õ¥á¥ó¥á ¥ò¥å ¥ì¥é¥á ¥ä¥ç¥ì¥ï¥ò¥é¥á ¥ò¥ô¥æ¥ç¥ó¥ç¥ò¥ç ¥ì¥å ¥ó¥ï¥í ¥Ð¥á¥ð¥á¥í¥é¥ê¥ï¥ë¥á¥ï¥ô ¥ê¥á¥é ¥ó¥ï¥í ¥Ê¥ï¥ô¥â¥å¥ë¥á ¥ò¥ó¥ï ¥Å¥É¥Å. ¥Ò¥ô¥ì¥õ¥ø¥í¥á ¥ì¥å ¥á¥ô¥ó¥ç, ¥ï¥é ¥ä¥ñ¥á¥ò¥å¥éς ¥ì¥áς ¥ò¥ô¥ö¥í¥á ¥ö¥á¥ñ¥á¥ê¥ó¥ç¥ñ¥é¥æ¥ï¥í¥ó¥á¥é ¥á¥ð¥ï ¥ð¥á¥ñ¥á¥ì¥å¥í¥ï¥ô¥ò¥á ¥á¥â¥å¥â¥á¥é¥ï¥ó¥ç¥ó¥á (¥ð.¥ö., ¥ò¥å ¥ð¥å¥ñ¥é¥ð¥ó¥ø¥ò¥å¥éς ¥ð¥ï¥ô ¥á¥ð¥á¥é¥ó¥ï¥ô¥í ¥å¥í¥ò¥ô¥í¥å¥é¥ä¥ç¥ó¥ç ¥å¥ð¥é¥ë¥ï¥ã¥ç ¥ì¥å¥ó¥á¥î¥ô ¥ä¥ô¥ï ¥ä¥é¥á¥õ¥ï¥ñ¥å¥ó¥é¥ê¥ø¥í ¥ð¥ñ¥á¥î¥å¥ø¥í ¥ã¥é¥á ¥í¥á ¥á¥í¥ó¥é¥ì¥å¥ó¥ø¥ð¥é¥ò¥ó¥ï¥ô¥í ¥ï¥é ¥å¥ð¥é¥ò¥çς ¥å¥ö¥å¥õ¥ñ¥ï¥í¥åς ¥ä¥ñ¥á¥ò¥å¥éς ¥á¥ë¥ë¥ø¥í ¥ò¥ô¥ì¥ì¥å¥ó¥å¥ö¥ï¥í¥ó¥ø¥í ¥ò¥ó¥ï ¥é¥ä¥é¥ï ¥ê¥ï¥é¥í¥ø¥í¥é¥ê¥ï ¥ã¥ç¥ð¥å¥ä¥ï). ¥Ç ¥â¥å¥ë¥ó¥é¥ò¥ó¥ç ¥ë¥å¥é¥ó¥ï¥ô¥ñ¥ã¥é¥á ¥ì¥áς ¥ò¥å ¥ó¥å¥ó¥ï¥é¥ï¥ô ¥å¥é¥ä¥ï¥ôς ¥ð¥á¥é¥ö¥í¥é¥ä¥é¥á (¥ï¥ð¥øς ¥ò¥å ¥á¥ô¥ó¥ï ¥ð¥ï¥ô ¥è¥ô¥ì¥á¥ò¥ó¥å ¥é¥ò¥øς ¥á¥ð¥ï ¥ó¥ç ¥ó¥á¥é¥í¥é¥á ¥Ð¥ô¥ñ¥å¥ó¥ïς ¥ó¥ï ¥Ò¥á¥â¥â¥á¥ó¥ï¥â¥ñ¥á¥ä¥ï, ¥ì¥å ¥ó¥ï¥ôς ¥í¥å¥á¥ñ¥ï¥ôς ¥ï¥ä¥ç¥ã¥ï¥ôς ¥ð¥ï¥ô ¥ê¥á¥ó¥å¥ô¥è¥ô¥í¥á¥í ¥ì¥å ¥ó¥á¥ö¥ô¥ó¥ç¥ó¥á ¥ó¥á ¥á¥ô¥ó¥ï¥ê¥é¥í¥ç¥ó¥á ¥ó¥ï¥ôς, ¥ï ¥å¥í¥áς ¥ê¥á¥ó¥á¥ð¥á¥í¥ø ¥ò¥ó¥ï ¥á¥ë¥ë¥ï) ¥ð¥á¥ñ¥á¥ê¥ï¥ë¥ï¥ô¥è¥å¥é ¥ó¥ç ¥ë¥å¥ã¥ï¥ì¥å¥í¥ç ¥é¥ò¥ï¥ñ¥ñ¥ï¥ð¥é¥á Nash ¥ð¥ï¥ô ¥å¥î¥á¥ò¥õ¥á¥ë¥é¥æ¥å¥ó¥á¥é ¥ì¥ï¥í¥ï ¥á¥í ¥å¥é¥í¥á¥é ¥ð¥ñ¥á¥ã¥ì¥á¥ó¥é¥ê¥á ¥ó¥ô¥ö¥á¥é¥á (¥ó¥ï ¥å¥é¥ä¥ïς ¥ê¥á¥é ¥ï ¥á¥ñ¥é¥è¥ì¥ïς ¥ó¥ø¥í ¥æ¥á¥ñ¥é¥ø¥í ¥ð¥ï¥ô ¥ð¥ñ¥å¥ð¥å¥é ¥í¥á ¥ñ¥é¥î¥å¥é ¥ê¥á¥í¥å¥éς ¥ð¥ñ¥é¥í ¥í¥á ¥á¥ð¥ï¥õ¥á¥ò¥é¥ò¥å¥é ¥ð¥å¥ñ¥é ¥ó¥ï¥ô ¥ð¥ñ¥á¥ê¥ó¥á¥é¥ï¥ô ¥å¥î¥á¥ñ¥ó¥á¥ó¥á¥é ¥á¥ð¥ï ¥ó¥ï¥ôς ¥ê¥á¥í¥ï¥í¥åς ¥ó¥çς ¥æ¥ø¥çς/¥ð¥á¥é¥ö¥í¥é¥ä¥é¥ï¥ô). ¥Ð¥á¥ñ¥á¥ê¥é¥í¥ç¥ì¥å¥í¥ïς ¥ë¥ï¥é¥ð¥ï¥í  ¥á¥ð¥ï ¥ó¥á ¥í¥å¥ô¥ñ¥ï¥õ¥ô¥ò¥é¥ï¥ë¥ï¥ã¥é¥ê¥á ¥á¥ð¥ï¥ó¥å¥ë¥å¥ò¥ì¥á¥ó¥á ¥ò¥ô¥í¥á¥ä¥å¥ë¥õ¥ø¥í ¥ï¥ð¥øς ¥ï Shandlen ¥ê¥á¥é ¥ï Glimcher ¥é¥ò¥ö¥ô¥ñ¥é¥ò¥ó¥ç¥ê¥á (¥ê¥á¥é ¥å¥î¥á¥ê¥ï¥ë¥ï¥ô¥è¥ø ¥í¥á ¥é¥ò¥ö¥ô¥ñ¥é¥æ¥ï¥ì¥á¥é) ¥ï¥ó¥é ¥ä¥é¥á¥è¥å¥ó¥ï¥ô¥ì¥å ¥å¥ã¥ê¥å¥õ¥á¥ë¥é¥ê¥åς ¥ä¥ï¥ì¥åς ¥ð¥ï¥ô ¥ò¥ö¥å¥ä¥é¥á¥æ¥ï¥ô¥í ¥ó¥á ¥ê¥á¥ó¥á¥ë¥ë¥ç¥ë¥á ¥æ¥á¥ñ¥é¥á ¥ê¥á¥é ¥ó¥á ¥ñ¥é¥ö¥í¥ï¥ô¥í ¥ê¥á¥è¥å ¥õ¥ï¥ñ¥á ¥ð¥ï¥ô ¥ð¥ñ¥å¥ð¥å¥é ¥í¥á ¥ð¥á¥ñ¥ï¥ô¥ì¥å ¥ì¥é¥á ¥ó¥å¥ó¥ï¥é¥ï¥ô ¥å¥é¥ä¥ï¥ôς ¥á¥ð¥ï¥õ¥á¥ò¥ç. ¥Ç ¥å¥ê ¥ó¥ø¥í ¥ô¥ò¥ó¥å¥ñ¥ø¥í ¥å¥í¥ó¥ô¥ð¥ø¥ò¥ç ¥ð¥ï¥ô ¥å¥ö¥ï¥ô¥ì¥å ¥ã¥é¥á ¥ó¥ç¥í ¥å¥ê ¥ó¥ø¥í ¥ð¥ñ¥ï¥ó¥å¥ñ¥ø¥í ¥è¥å¥ì¥å¥ë¥é¥ø¥ä¥øς ¥ó¥ô¥ö¥á¥é¥ï¥ð¥ï¥é¥ç¥ì¥å¥í¥ç ¥ë¥å¥é¥ó¥ï¥ô¥ñ¥ã¥é¥á ¥ì¥áς ¥å¥é¥í¥á¥é ¥á¥ô¥ó¥ï ¥ð¥ï¥ô ¥ï¥í¥ï¥ì¥á¥æ¥ï¥ô¥ì¥å (¥ê¥á¥é ¥â¥é¥ø¥í¥ï¥ô¥ì¥å) ¥ò¥á¥í ¥å¥ë¥å¥ô¥è¥å¥ñ¥é¥á ¥â¥ï¥ô¥ë¥ç¥ò¥çς.

         ¥Î¥å¥ê¥é¥í¥ø¥í¥ó¥áς ¥á¥ð¥ï ¥ð¥å¥é¥ñ¥á¥ì¥á¥ó¥á ¥ó¥ï¥ô Libet, ¥ï ¥Ê¥á¥ñ¥ã¥ï¥ð¥ï¥ô¥ë¥ïς ¥ð¥å¥ñ¥é¥å¥ã¥ñ¥á¥÷¥å ¥ä¥ô¥ï ¥á¥ê¥ï¥ì¥ç ¥å¥î¥á¥é¥ñ¥å¥ó¥é¥ê¥á ¥å¥í¥ä¥é¥á¥õ¥å¥ñ¥ï¥ô¥ò¥åς ¥å¥ê¥ä¥ï¥ö¥åς ¥ê¥á¥é ¥ò¥ê¥á¥ã¥ñ¥á¥õ¥ç¥ò¥å ¥ì¥é¥á ¥õ¥é¥ë¥ï¥ò¥ï¥õ¥é¥á ¥ó¥çς ¥ä¥ñ¥á¥ò¥çς ¥ð¥ï¥ô ¥ò¥å¥â¥å¥ó¥á¥é ¥ó¥ç¥í ¥÷¥ô¥ö¥ï¥õ¥ô¥ò¥é¥ê¥ç. ¥Ò¥ô¥í¥ó¥ï¥ì¥á, ¥ï Libet ¥æ¥ç¥ó¥ç¥ò¥å ¥á¥ð¥ï ¥ó¥á ¥ô¥ð¥ï¥ê¥å¥é¥ì¥å¥í¥á ¥ð¥ï¥ô ¥ì¥å¥ë¥å¥ó¥ç¥ò¥å ¥í¥á ¥å¥ò¥ó¥é¥á¥ò¥ï¥ô¥í ¥ó¥ï ¥â¥ë¥å¥ì¥ì¥á ¥ó¥ï¥ôς ¥ð¥á¥í¥ø ¥ò¥å ¥ì¥é¥á ¥õ¥ø¥ó¥å¥é¥í¥ç ¥ê¥ç¥ë¥é¥ä¥á ¥ð¥ï¥ô ¥å¥ê¥é¥í¥å¥é¥ó¥ï ¥ã¥ô¥ñ¥ø ¥á¥ð¥ï ¥å¥í¥á ¥ê¥ô¥ê¥ë¥ï ¥å¥ð¥á¥í¥ø ¥ò¥å ¥ì¥é¥á ¥ï¥è¥ï¥í¥ç ¥ì¥å ¥ð¥å¥ñ¥é¥ï¥ä¥ï 2650 ms[5]. ¥Å¥ð¥é¥ò¥çς ¥æ¥ç¥ó¥ç¥ò¥å ¥á¥ð¥ï ¥ó¥á ¥ô¥ð¥ï¥ê¥å¥é¥ì¥å¥í¥á ¥í¥á ¥å¥ê¥ó¥å¥ë¥å¥ò¥ï¥ô¥í ¥ì¥é¥á ¥å¥ê¥ï¥ô¥ò¥é¥á ¥ê¥é¥í¥ç¥ò¥ç ¥ì¥å ¥ó¥ï ¥ä¥å¥î¥é ¥ó¥ï¥ôς ¥ö¥å¥ñ¥é ¥ï,¥ð¥ï¥ó¥å ¥á¥ô¥ó¥á ¥ç¥è¥å¥ë¥á¥í. ¥Ì¥å¥ó¥á ¥á¥ð¥ï ¥å¥í¥á ¥ó¥ô¥ö¥á¥é¥ï ¥ö¥ñ¥ï¥í¥é¥ê¥ï ¥ä¥é¥á¥ò¥ó¥ç¥ì¥á ¥ç ¥õ¥ø¥ó¥å¥é¥í¥ç ¥ê¥ç¥ë¥é¥ä¥á ¥á¥ê¥é¥í¥ç¥ó¥ï¥ð¥ï¥é¥ï¥ô¥í¥ó¥á¥í ¥ê¥á¥é ¥ó¥á ¥ô¥ð¥ï¥ê¥å¥é¥ì¥å¥í¥á ¥ä¥ç¥ë¥ø¥í¥á¥í ¥ó¥ç ¥è¥å¥ò¥ç ¥ð¥ï¥ô ¥ê¥á¥ó¥á¥ë¥á¥ì¥â¥á¥í¥å ¥ï¥ó¥á¥í ¥å¥í¥ï¥é¥ø¥ò¥á¥í ¥ã¥é¥á ¥ð¥ñ¥ø¥ó¥ç ¥õ¥ï¥ñ¥á ¥ó¥ç¥í ¥å¥ð¥é¥è¥ô¥ì¥é¥á ¥í¥á ¥ê¥é¥í¥ç¥ò¥ï¥ô¥í, ¥ï ¥ö¥ñ¥ï¥í¥ïς ¥ò¥ô¥í¥å¥é¥ä¥ç¥ó¥çς ¥â¥ï¥ô¥ë¥ç¥ò¥çς. ¥Ê¥á¥ó¥á ¥ì¥å¥ò¥ï ¥ï¥ñ¥ï ¥á¥ô¥ó¥ç ¥ç ¥ö¥ñ¥ï¥í¥é¥ê¥ç ¥ò¥ó¥é¥ã¥ì¥ç (W-time ¥ê¥á¥ó¥á Libet) ¥ð¥ñ¥ï¥ç¥ã¥å¥é¥ó¥á¥é ¥ð¥å¥ñ¥é¥ð¥ï¥ô ¥ê¥á¥ó¥á 200 ms ¥ó¥çς ¥ä¥ñ¥á¥ò¥ó¥ç¥ñ¥é¥ï¥ó¥ç¥ó¥áς ¥ó¥ø¥í ¥ì¥ô¥ø¥í ¥ð¥ï¥ô ¥å¥ê¥ó¥å¥ë¥ï¥ô¥í ¥ó¥ç¥í ¥ê¥é¥í¥ç¥ò¥ç ¥á¥ë¥ë¥á ¥å¥ð¥å¥ó¥á¥é ¥ê¥á¥ó¥á 500 ms ¥ð¥å¥ñ¥é¥ð¥ï¥ô ¥ó¥ï¥ô ¥ä¥ô¥í¥á¥ì¥é¥ê¥ï¥ô ¥å¥ó¥ï¥é¥ì¥ï¥ó¥ç¥ó¥áς (¥ó¥çς ¥ä¥ñ¥á¥ò¥ó¥ç¥ñ¥é¥ï¥ó¥ç¥ó¥áς ¥ä¥ç¥ë¥á¥ä¥ç ¥ó¥ï¥ô ¥å¥ã¥ê¥å¥õ¥á¥ë¥ï¥ô ¥ð¥ï¥ô ¥ê¥á¥ó¥á ¥ó¥ï Libet ¥ï¥õ¥å¥é¥ë¥å¥ó¥á¥é ¥ê¥ô¥ñ¥é¥øς ¥ò¥å ¥ê¥ô¥ó¥ó¥á¥ñ¥á ¥ó¥çς ¥å¥ð¥é¥ê¥ï¥ô¥ñ¥é¥ê¥çς ¥ê¥é¥í¥ç¥ó¥é¥ê¥çς ¥ð¥å¥ñ¥é¥ï¥ö¥çς). ¥Ó¥é ¥ò¥ô¥ì¥ð¥å¥ñ¥á¥ò¥ì¥á¥ó¥á ¥ì¥ð¥ï¥ñ¥å¥é ¥á¥ñ¥á¥ã¥å ¥í¥á ¥â¥ã¥á¥ë¥å¥é ¥ê¥á¥í¥å¥éς ¥á¥ð¥ï ¥á¥ô¥ó¥á ¥ó¥á ¥ð¥å¥é¥ñ¥á¥ì¥á¥ó¥á;

                                                              i.      ¥Ó¥á ¥ð¥å¥é¥ñ¥á¥ì¥á¥ó¥á ¥á¥ô¥ó¥á ¥ä¥å¥í ¥ò¥ç¥ì¥á¥é¥í¥ï¥ô¥í ¥ó¥é¥ð¥ï¥ó¥å ¥å¥ð¥å¥é¥ä¥ç ¥ï¥ô¥ó¥å ¥ó¥éς ¥ö¥ñ¥ï¥í¥é¥ê¥åς ¥å¥ê¥ó¥é¥ì¥ç¥ò¥å¥éς ¥ó¥ø¥í ¥ô¥ð¥ï¥ê¥å¥é¥ì¥å¥í¥ø¥í ¥ì¥ð¥ï¥ñ¥å¥é ¥ê¥á¥í¥å¥éς ¥í¥á ¥å¥ì¥ð¥é¥ò¥ó¥å¥ô¥ó¥å¥é ¥ï¥ô¥ó¥å ¥ó¥ï ¥ó¥é ¥í¥ï¥ì¥é¥æ¥á¥í ¥ï¥ó¥é ¥å¥í¥ï¥é¥ø¥è¥á¥í (¥å¥í¥ä¥å¥é¥ê¥ó¥é¥ê¥á ¥á¥ô¥ó¥çς ¥ó¥çς ¥á¥í¥ó¥é¥ì¥å¥ó¥ø¥ð¥é¥ò¥çς ¥å¥é¥í¥á¥é ¥ì¥å¥ñ¥é¥ê¥á ¥á¥ð¥ï ¥ó¥á ¥ò¥ö¥ï¥ë¥é¥á ¥ò¥ó¥ï Libet et al. Unconscious cerebral initiative and the role of conscious will in voluntary action. Behav. Brain Sci. 8:529-566, 1985). ¥Ð¥ñ¥å¥ð¥å¥é ¥í¥á ¥ï¥ì¥ï¥ë¥ï¥ã¥ç¥ò¥ø ¥ï¥ó¥é ¥á¥ô¥ó¥ç ¥ç¥ó¥á¥í ¥ç ¥á¥ñ¥ö¥é¥ê¥ç ¥ì¥ï¥ô ¥ò¥ó¥á¥ò¥ç ¥á¥ð¥å¥í¥á¥í¥ó¥é ¥ò¥ó¥á ¥ð¥å¥é¥ñ¥á¥ì¥á¥ó¥á ¥ó¥ï¥ô Libet. ¥Ø¥ò¥ó¥ï¥ò¥ï ¥á¥ë¥ë¥á¥î¥á ¥á¥ð¥ï¥÷¥ç ¥å¥í ¥ì¥å¥ñ¥å¥é ¥å¥ð¥å¥é¥ä¥ç ¥ç ¥ê¥á¥ó¥á¥í¥ï¥ì¥ç ¥ó¥ï¥ô W-time ¥ð¥ï¥ô ¥ð¥å¥ñ¥é¥å¥ã¥ñ¥á¥÷¥å ¥ï Libet ¥ä¥å¥í ¥å¥é¥í¥á¥é ¥ï¥ì¥ï¥é¥ï¥ì¥ï¥ñ¥õ¥ç (¥ï¥ð¥øς ¥è¥á ¥ð¥å¥ñ¥é¥ì¥å¥í¥å ¥ê¥á¥í¥å¥éς ¥á¥ð¥ï ¥ó¥ç ¥ð¥ñ¥ø¥ó¥ç ¥á¥ð¥ï ¥ó¥éς ¥ð¥é¥ï ¥ð¥á¥í¥ø ¥å¥ð¥é¥õ¥ô¥ë¥á¥î¥å¥éς) ¥á¥ë¥ë¥á ¥ê¥ô¥ñ¥é¥øς ¥å¥ð¥å¥é¥ä¥ç ¥ó¥á ¥ð¥å¥é¥ñ¥á¥ì¥á¥ó¥á ¥å¥ð¥á¥ë¥ç¥è¥å¥ô¥è¥ç¥ê¥á¥í ¥ì¥å ¥ó¥ñ¥ï¥ð¥ï ¥ð¥ï¥ô ¥å¥í ¥ì¥å¥ñ¥å¥é ¥á¥ð¥á¥í¥ó¥á ¥ò¥ó¥éς ¥á¥í¥ó¥é¥ñ¥ñ¥ç¥ò¥å¥éς ¥ì¥ï¥ô (¥ð.¥ö., ¥ç ¥â¥é¥â¥ë¥é¥ï¥ã¥ñ¥á¥õ¥é¥á ¥ð¥ï¥ô ¥ð¥á¥ñ¥á¥è¥å¥ó¥á¥é ¥ï Haggard ¥ò¥ó¥ï Conscious intention and motor cognition. Trends in Cognitive Sciences 9:290-295, 2005). ¥Ï¥ô¥ó¥å ¥å¥é¥í¥á¥é ¥å¥ô¥ê¥ï¥ë¥ï ¥í¥á  ¥á¥ð¥ï¥ê¥ç¥ñ¥ô¥î¥å¥é ¥ê¥á¥í¥å¥éς ¥ï¥ë¥ç ¥á¥ô¥ó¥ç ¥ó¥ç ¥â¥é¥â¥ë¥é¥ï¥ã¥ñ¥á¥õ¥é¥á ¥ò¥á¥í ¥ð¥å¥ñ¥é¥è¥ø¥ñ¥é¥á¥ê¥ç ¥ä¥å¥ä¥ï¥ì¥å¥í¥ï¥ô