Tuesday, August 16, 2011

When we consider '2+2=4' are we considering one statement or a family of related statements?

I argue that we are often considering a family of related statements. So I have devised a little method for getting at the general statement '2+2=4' without all these context fragments slipping in. (1) Clear your mind of all imagery and steer your eyes away from any and all text. (2) Now, consider the statement purported to be true that corresponds to the vocalization (in your mind) '2+2 =4'. Now you have one statement to consider in its abstract form. I will call this statement 'the general statement' (3) Do you want to say you stating a fact now, outside of any application? (4) Even if we call this general statement '2+2=4' true or a fact, does it have anything in common with specific empirical facts or everyday facts - many of which are loosely ociated with the general statement '2+2=4'?

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