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2 ideas
10487 | I am a fan of abstract objects, and confident of their existence [Boolos] |
Full Idea: I am rather a fan of abstract objects, and confident of their existence. Smaller numbers, sets and functions don't offend my sense of reality. | |
From: George Boolos (Must We Believe in Set Theory? [1997], p.128) | |
A reaction: The great Boolos is rather hard to disagree with, but I disagree. Logicians love abstract objects, indeed they would almost be out of a job without them. It seems to me they smuggle them into our ontology by redefining either 'object' or 'exists'. |
10489 | We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos] |
Full Idea: We twentieth century city dwellers deal with abstract objects all the time, such as bank balances, radio programs, software, newspaper articles, poems, mistakes, triangles. | |
From: George Boolos (Must We Believe in Set Theory? [1997], p.129) | |
A reaction: I find this claim to be totally question-begging, and typical of a logician. The word 'object' gets horribly stretched in these discussions. We can create concepts which have all the logical properties of objects. Maybe they just 'subsist'? |