List, Ben:
On Jan 17, 2015, at 12:16 PM, Benjamin Udell wrote: > Jerry, > > But your 'S is P' & 'S is not P' are contradictories, not contraries; they > can't both be true and can't both be false. > > 'The dogs are four' and 'the dogs are five' are contraries: they can't both > be true but can both be false. > No idea about what your meaning is intended to confer, either to pragmatism or logic. First, let me make clear for I was using the term "contrary". The distinction between contraries and contradictories are clearly and distinctly presented in the Sanford Encyclopedia of Philosophy: http://plato.stanford.edu/entries/square/ from which one reads: A Every S is P Universal Affirmative E No S is P Universal Negative I Some S is P Particular Affirmative O Some S is not P Particular Negative and : ‘Every S is P’ and ‘Some S is not P’ are contradictories. ‘No S is P’ and ‘Some S is P’ are contradictories. ‘Every S is P’ and ‘No S is P’ are contraries. ‘Some S is P’ and ‘Some S is not P’ are subcontraries. ‘Some S is P’ is a subaltern of ‘Every S is P’. ‘Some S is not P’ is a subaltern of ‘No S is P’. and which shows a clear diagram illustrating the difference between contraries and contradictories. > 'The dogs are four' and 'the dogs are five' are contraries: they can't both > be true but can both be false. > This sentence, from either a logical or mathematical sense, does not mean to me. Are you certain you intended to use the word "the" in this context? The two phrases as in quotation marks which suggests that you may intend to independent concepts. Your two phrases are contrary if and only if the phrases refer to the same sign for the set of dogs you have in mind. Your response illustrates very nicely the point of my original post. :-) Cheers Jerry
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