Roger Bissell Posted September 18, 2007 Share Posted September 18, 2007 I couldn't disagree with you more about reason and mathematics (and natural language). An equation is just a proposition using quantities and proxies for quantities, and if you say "Add two of anything to two of anything else, and you have four things," that is precisely the same thing (in natural language) as saying "2 + 2 = 4" (in mathematical terms).And this is not an issue of mere "definition." Someone else on OL the past day or two said something similar (Ellen S.?), but I agree that it states the matter correctly. Acknowledging that // added to // makes //// is not just an "analytic truth," but the recognition of a fact of reality, moreover a recognition that involves an act of reason: the integration and identification of the material provided by the senses.2+2=4 is ALWAYS true in mathematics but 2 things and 2 things is NOT ALWAYS true in experience. 2 gallons of water and 2 gallons of alcohol will not give you 4 gallons of the mixture.I am talking about ~collecting~ things, whether mentally or physically, NOT ~mixing~ or ~physically combining~ them. I can physically mix or combine 1 and 1 and get 11 or, if I mix them in a superpositional way, I get 1 (with the other 1 being behind or under it).When I have 2 gallons of water in a bucket and 2 gallons of alcohol in a bucket side by side, I have 4 gallons of liquid. That is ~all~ that addition is. We are not talking about physically mixing or chemically combining -- nor "adding" a male and female sheep and getting 3 (or more) sheep. Or any more of the sophistical "counter-examples" you can dream up.Please don't do this kindergarten crap.REB Link to comment Share on other sites More sharing options...
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