Combining Texts

Ideas for 'Thinking About Mathematics', 'Nicomachean Ethics' and 'works'

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5 ideas

12. Knowledge Sources / B. Perception / 6. Inference in Perception
Particular facts (such as 'is it cooked?') are matters of sense-perception, not deliberation [Aristotle]
     Full Idea: Deliberation is not concerned with particular facts, such as 'is it a loaf?' or 'is it properly cooked?'; these are matters of sense-perception.
     From: Aristotle (Nicomachean Ethics [c.334 BCE], 1112b33)
     A reaction: This seems to be Aristotle's commitment to direct cognition through perception, though if pressed he might concede that concepts (such as 'cooked') are involved in perception.
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro]
     Full Idea: Rationalism is a long-standing school that can be characterized as an attempt to extend the perceived methodology of mathematics to all of knowledge.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.1)
     A reaction: Sometimes called 'Descartes's Dream', or the 'Enlightenment Project', the dream of proving everything. Within maths, Hilbert's Programme aimed for the same certainty. Idea 22 is the motto for the opposition to this approach.
12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense
It is enough if we refute the objections and leave common opinions undisturbed [Aristotle]
     Full Idea: If we both refute the objections and leave the common opinions undisturbed, we shall have proved the case sufficiently.
     From: Aristotle (Nicomachean Ethics [c.334 BCE], 1145b05), quoted by Stephen Boulter - Why Medieval Philosophy Matters 3
     A reaction: This quotation is a sacred text for philosophers who place a high value on the consensus of thinking among the majority of people. I hate it when philosophers hijack an ordinary word and assign it a different meaning.
If everyone believes it, it is true [Aristotle]
     Full Idea: What everyone believes is so.
     From: Aristotle (Nicomachean Ethics [c.334 BCE], 1173a01)
     A reaction: Would you think me terribly unfashionable if I agreed with this? Huge numbers of people can be wrong, but if 'everyone' believes something it seems crazy to go against it.
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Intuition grasps the definitions that can't be proved [Aristotle]
     Full Idea: Intuition apprehends the definitions which cannot be logically demonstrated.
     From: Aristotle (Nicomachean Ethics [c.334 BCE], 1142a25)
     A reaction: Nice to see that (like me) he has a positive view of intuition. I'm not sure how you would 'prove' a definition of the hidden nature of a thing (which is usually taken to be hidden).