= 27d567bc2d48d9f40e9ccc20ea370b15)
Alicorn comments on The role of mathematical truths - Less Wrong
You are viewing a comment permalink. View the original post to see all comments and the full post content.
= 783df68a0f980790206b9ea87794c5b6)
Loading…= b715d02e85f7b3b4ae65ca3d3e450868)
Subscribe to RSS Feed
Powered by Reddit
= f037147d6e6c911a85753b9abdedda8d)
You are viewing a comment permalink. View the original post to see all comments and the full post content.
Comments (81)
∃x∃y ( ~(x=y) & ( ∀z ( ~(z=x) ⊃ (z=y) ) & ( ~(z=y) ⊃ (z=x) ) )
Only works in a limited universe of discourse, though.
Or ∃x∃y ( ~(x=y) & ∀z ( z=y or z=x) )
Still, that's not 'twoness'. That's a sentence that's only satisfied when there are two things, and could be taken as a definition of what it means to assert that there are two things, or even as a definition of there being two such things, but it's not 'twoness'. 'Twoness' implies number is a property of objects, which I think Frege pretty conclusively disproved.
In lower brow discourse, try: (.)v(.)
I think you may have meant (.Y.)
That works too. Although I must confess I prefer the smaller cup size. :P
I think the fact that a definition of "2" in symbolic logic can be taken to count as an answer to the question "What is twoness, physically?" pretty much says all that needs to be said about the clarity of the question.