Philosophy 1200 Lecture Notes - Lecture 3: Prime Number
Document Summary
Help us understand and explain different kinds of connections between concepts. Help us understand how different states of affairs are related to each other. If x is necessary for y, then its impossible to have y without x. The absence of x guarantees the absence of y. Having four sides is necessary for being a square. Being brave is a necessary condition for being a soldier. Not being divisible by four is essential for being a prime number. To show that x is not necessary for y, simply find a situation where y is present but x is not. Being rich is not necessary for being happy, since a poor person can be happy too. Being chinese is not necessary for being a hong kong permanent resident, since a non-chinese can become a permanent reside by residing in hong kong for seven years. Necessary conditions can be used by accident.