Combining Philosophers

Ideas for Herodotus, Aristotle and Leucippus

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3 ideas

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
An axiom is a principle which must be understood if one is to learn anything [Aristotle]
     Full Idea: An axiom is a principle which must be grasped if anyone is going to learn anything whatever.
     From: Aristotle (Posterior Analytics [c.327 BCE], 72a17)
Axioms are the underlying principles of everything, and who but the philosopher can assess their truth? [Aristotle]
     Full Idea: Axioms are more general, and the principles of all things. If this does not belong to the philosopher, who else will have the job of considering truth and falsity in their case?
     From: Aristotle (Metaphysics [c.324 BCE], 0997a09)
The axioms of mathematics are part of philosophy [Aristotle]
     Full Idea: A single science, that of the philosopher, also covers the axioms of mathematics.
     From: Aristotle (Metaphysics [c.324 BCE], 1005a15)