HPS250H1 Lecture : 9th Jan 2012.doc
3 May 2012
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Count apples, chairs etc. (is this how we justify 1+2=3?) Follows from definitions 2 is equal to (3 horizontal lines) 1+1 and 3 is equal to (3 horizontal lines) 1+1+1, therefore 1+2=3. Theorems are derived from something (check ppt). Case 2 swans all swans are white observe examples of white swans (experience) , then generalize that all swans are white (theory formed from experience) definition of experience= 1). observe. Experience: two falling objects of different mass land at the same time onto the ground. Intuitive answer: based on experience (apple, thing dropped from tower, the moon therefore the theory can be generalized) Analytic propositions= case 1 (ie. all propositions of formal sciences eg. Analytic propositions= case 1 (ie. all propositions of formal sciences eg. math and logic are analytic) eg. symbolic logic: p (q p) =if p is true then q is also true.
