Jul. 2nd, 2017
(no subject)
Jul. 2nd, 2017 04:09 pmI wonder whether the subobject classifier approach can be used to detect new developments in technology. For example, expressions like _horseless carriage_, _smarphone with no keyboard_, _driverless car_, _artificial intelligence_ indicate that the object in question doesn't belong to a boolean topos ( or is it a slice topos?).
TIL: final objects
Jul. 2nd, 2017 10:15 pmSpeaking categorically of Zarathustra, he invented one of the most generic subobject classifiers - Good vs Bad.
The Greeks invented another one: mortal vs immortal.
Galileo Galilei postulated that mechanical systems with speed=0 (first derivative) as the final object are equivalent to systems with acceleration=0 (second derivative) as the final object.
Sir Isaac Newton postulated that gravitation has a final object - g (third derivative = 0).
etc. etc.
The Greeks invented another one: mortal vs immortal.
Galileo Galilei postulated that mechanical systems with speed=0 (first derivative) as the final object are equivalent to systems with acceleration=0 (second derivative) as the final object.
Sir Isaac Newton postulated that gravitation has a final object - g (third derivative = 0).
etc. etc.