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3 ideas
562 | 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) |
573 | 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) |
15381 | Dyamic logics model changes between classical states, in action, belief, and computing [Uckelman] |
Full Idea: Dynamic logic gives versions of propositional, modal and predicate logics, in which the states are classical, but changes of assignments between states can be expressed, by modelling action, knowledge and belief change, and compute programs. | |
From: Sara L. Uckelman (Dynamic Logics [2010]) | |
A reaction: [compressed] |