... common understanding of conditionals. In formal logic, the statement "If 2+2=5 then 1+1=2" is true. However, '1+1=2' is true regardless of the content of the ... is a topic of intense investigation. Is the problem; 1. an inadequacy in formal logic 2. the vaguary of ordinary language 3. ..., such as in the proposition '"If 2+2=5 then 1+1=2" is true', where 2+2...

... of intense investigation. Is the problem; 1. an inadequacy in formal logic 2. the vaguary of ordinary language ... the rules of deduction) of a proposition. The answer is 3. no discrepancy...it is not the case that 2+2=5 but this does not...) argue for or against 1+1=2 since this would be committing...). He calls this kind of proposition by its (IMHO) proper name, ...

...of intense investigation. Is the problem; 1. an inadequacy in formal logic 2. the vaguary of ordinary language ...the rules of deduction) of a proposition. The answer is 3. no discrepancy...it is not the case that 2+2=5 but this does not...) argue for or against 1+1=2 since this would be committing...> investigate the relation between two propositions, but as one of many ...

...+1=2" is true. However, '1+1=2' is true regardless of the content of the...a topic of intense investigation. Is the problem; 1. an inadequacy in formal logic 2. the vaguary of ordinary language 3... to the rules of deduction) of a proposition. Implication has been around at least since ... normal conditions). He calls this kind of proposition by its (IMHO) proper name, i.e...

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...of second-order axioms [extension of propositional logic] proposed by Giuseppe Peano which...Euclid did, with five axioms: Axiom 1. 0 is a number. Axiom 2... "Sam" or "Samantha" or, preferably, "1." To our newly generated s(s...is interpreted as 2 + 1 = 2 + s(0) = s(2+0) = s(2... of equations such as x2 = 2 and complex numbers to account ... to the truth-values of propositions gives us the L group ...

...> Hm, we know what a proposition "means" when we know the necessary...need to establish the credentials of propositions that might serve as interpretations. ..."meaning" as the way a proposition presents its content (example below*).... circularity, seeing as how entire propositions have their meaning determined by ... meaning determined by the entire proposition (the context principle). Perhaps this ...

....org/wiki/Logical_positivism The short version: Meaning = truth conditions. Hm, we know what a proposition "means" when we know the necessary and sufficient conditions for it to be true. We know when a proposition is "true" when we know the necessary and sufficient conditions for it to be true hold. Not sure where...

... > for the veracity of a set of propositions Y. Fell into sneaky mode there. Taking ...basis for the veracity of a set of propositions Y" (which is the LoSR). ...", above you say "veracity". Veracity is about propositions, certainty about psychology. A person whose psychological ... concerned with here. It is true that propositions that cannot be decided in one system ...