Combining Texts

Ideas for 'Topics', 'Philosophy of Mind' and 'Relativism'

unexpand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts


4 ideas

5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Logical relativism appears if we allow more than one legitimate logical system [O'Grady]
     Full Idea: Logical relativism emerges if one defends the existence of two or more rival systems that one may legitimately choose between, or move back and forth between.
     From: Paul O'Grady (Relativism [2002], Ch.2)
     A reaction: All my instincts rebel against this possibility. All of Aristotle's and Kant's philosophy would be rendered meaningless. Obviously you can create artificial logics (like games), but I believe there is a truth logic. (Pathetic, isn't it?)
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
A third value for truth might be "indeterminate", or a point on a scale between 'true' and 'false' [O'Grady]
     Full Idea: Suggestions for a third value for truth are "indeterminate", or a scale running from "true", through "mostly true", "mainly true", "half true", "mainly false", "mostly false", to "false", or maybe even "0.56 true".
     From: Paul O'Grady (Relativism [2002], Ch.2)
     A reaction: Anything on a sliding scale sounds wrong, as it seems to be paracitic on an underlying fixed idea of 'true'. "Indeterminate", though, seems just right for the truth of predictions ('sea-fight tomorrow').
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Wittgenstein reduced Russell's five primitive logical symbols to a mere one [O'Grady]
     Full Idea: While Russell and Whitehead used five primitive logical symbols in their system, Wittgenstein suggested in his 'Tractatus' that this be reduced to one.
     From: Paul O'Grady (Relativism [2002], Ch.2)
     A reaction: This certainly captures why Russell was so impressed by him. In retrospect what looked like progress presumably now looks like the beginning of the collapse of the enterprise.
5. Theory of Logic / L. Paradox / 2. Aporiai
Puzzles arise when reasoning seems equal on both sides [Aristotle]
     Full Idea: The equality of opposite reasonings is the cause of aporia; for it is when we reason on both [sides of a question] and it appears to us that everything can come about either way, that we are in a state of aporia about which of the two ways to take up.
     From: Aristotle (Topics [c.331 BCE], 145b17), quoted by Vassilis Politis - Aristotle and the Metaphysics 3.1
     A reaction: Other philosophers give up on the subject in this situation, but I love Aristotle because he takes this to be the place where philosophy begins.