Combining Texts

All the ideas for 'Laches', 'Knowledge First (and reply)' and 'Regressive Method for Premises in Mathematics'

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25 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
Don't assume that wisdom is the automatic consequence of old age [Plato]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell]
2. Reason / A. Nature of Reason / 6. Coherence
If one proposition is deduced from another, they are more certain together than alone [Russell]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
Non-contradiction was learned from instances, and then found to be indubitable [Russell]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Which premises are ultimate varies with context [Russell]
The sources of a proof are the reasons why we believe its conclusion [Russell]
Finding the axioms may be the only route to some new results [Russell]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Arithmetic was probably inferred from relationships between physical objects [Russell]
11. Knowledge Aims / A. Knowledge / 7. Knowledge First
We don't acquire evidence and then derive some knowledge, because evidence IS knowledge [Williamson]
Knowledge is prior to believing, just as doing is prior to trying to do [Williamson]
Belief explains justification, and knowledge explains belief, so knowledge explains justification [Williamson]
A neutral state of experience, between error and knowledge, is not basic; the successful state is basic [Williamson]
Internalism about mind is an obsolete view, and knowledge-first epistemology develops externalism [Williamson]
Knowledge-first says your total evidence IS your knowledge [Williamson]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
Surely I am acquainted with physical objects, not with appearances? [Williamson]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Believing a whole science is more than believing each of its propositions [Russell]
14. Science / C. Induction / 2. Aims of Induction
Induction is inferring premises from consequences [Russell]
19. Language / C. Assigning Meanings / 2. Semantics
How does inferentialism distinguish the patterns of inference that are essential to meaning? [Williamson]
Internalist inferentialism has trouble explaining how meaning and reference relate [Williamson]
Inferentialist semantics relies on internal inference relations, not on external references [Williamson]
19. Language / C. Assigning Meanings / 7. Extensional Semantics
Truth-conditional referential semantics is externalist, referring to worldly items [Williamson]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Being unafraid (perhaps through ignorance) and being brave are two different things [Plato]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
The law of gravity has many consequences beyond its grounding observations [Russell]