Combining Texts

All the ideas for 'Defending the Axioms', 'Reason, Truth and History' and 'fragments/reports'

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56 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
For ancient Greeks being wise was an ethical value [Putnam]
1. Philosophy / A. Wisdom / 2. Wise People
A wise man's chief strength is not being tricked; nothing is worse than error, frivolity or rashness [Zeno of Citium, by Cicero]
1. Philosophy / D. Nature of Philosophy / 1. Philosophy
When shown seven versions of the mowing argument, he paid twice the asking price for them [Zeno of Citium, by Diog. Laertius]
1. Philosophy / D. Nature of Philosophy / 4. Divisions of Philosophy
Philosophy has three parts, studying nature, character, and rational discourse [Zeno of Citium, by Diog. Laertius]
3. Truth / A. Truth Problems / 1. Truth
Putnam's epistemic notion of truth replaces the realism of correspondence with ontological relativism [Putnam, by O'Grady]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Before Kant, all philosophers had a correspondence theory of truth [Putnam]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
The correspondence theory is wrong, because there is no one correspondence between reality and fact [Putnam, by O'Grady]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Truth is an idealisation of rational acceptability [Putnam]
3. Truth / H. Deflationary Truth / 3. Minimalist Truth
Someone who says 'it is day' proposes it is day, and it is true if it is day [Zeno of Citium, by Diog. Laertius]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / I. Semantics of Logic / 6. Intensionalism
Intension is not meaning, as 'cube' and 'square-faced polyhedron' are intensionally the same [Putnam]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
If cats equal cherries, model theory allows reinterpretation of the whole language preserving truth [Putnam]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Zeno achieved the statement of the problems of infinitesimals, infinity and continuity [Russell on Zeno of Citium]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Whatever participates in substance exists [Zeno of Citium, by Stobaeus]
7. Existence / D. Theories of Reality / 4. Anti-realism
If we try to cure the abundance of theories with causal links, this is 'just more theory' [Putnam, by Lewis]
The sentence 'A cat is on a mat' remains always true when 'cat' means cherry and 'mat' means tree [Putnam]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
A fact is simply what it is rational to accept [Putnam]
8. Modes of Existence / B. Properties / 12. Denial of Properties
Very nominalistic philosophers deny properties, though scientists accept them [Putnam]
10. Modality / A. Necessity / 11. Denial of Necessity
If necessity is always relative to a description in a language, then there is only 'de dicto' necessity [Putnam, by O'Grady]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Perception an open hand, a fist is 'grasping', and holding that fist is knowledge [Zeno of Citium, by Long]
11. Knowledge Aims / A. Knowledge / 7. Knowledge First
A grasp by the senses is true, because it leaves nothing out, and so nature endorses it [Zeno of Citium, by Cicero]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / c. Defeasibility
If a grasped perception cannot be shaken by argument, it is 'knowledge' [Zeno of Citium, by Cicero]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
A presentation is true if we judge that no false presentation could appear like it [Zeno of Citium, by Cicero]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Some kind of objective 'rightness' is a presupposition of thought itself [Putnam]
14. Science / B. Scientific Theories / 3. Instrumentalism
Naïve operationalism would have meanings change every time the tests change [Putnam]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
When a slave said 'It was fated that I should steal', Zeno replied 'Yes, and that you should be beaten' [Zeno of Citium, by Diog. Laertius]
A dog tied to a cart either chooses to follow and is pulled, or it is just pulled [Zeno of Citium, by Hippolytus]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
Incorporeal substances can't do anything, and can't be acted upon either [Zeno of Citium, by Cicero]
17. Mind and Body / E. Mind as Physical / 5. Causal Argument
A body is required for anything to have causal relations [Zeno of Citium, by Cicero]
18. Thought / A. Modes of Thought / 5. Rationality / b. Human rationality
Rationality is one part of our conception of human flourishing [Putnam]
18. Thought / C. Content / 5. Twin Earth
'Water' on Twin Earth doesn't refer to water, but no mental difference can account for this [Putnam]
18. Thought / C. Content / 6. Broad Content
Reference is social not individual, because we defer to experts when referring to elm trees [Putnam]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
Concepts are (at least in part) abilities and not occurrences [Putnam]
19. Language / A. Nature of Meaning / 7. Meaning Holism / a. Sentence meaning
A sentence always has signification, but a word by itself never does [Zeno of Citium, by Diog. Laertius]
19. Language / B. Reference / 3. Direct Reference / c. Social reference
Neither individual nor community mental states fix reference [Putnam]
Maybe the total mental state of a language community fixes the reference of a term [Putnam]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
There are infinitely many interpretations of a sentence which can all seem to be 'correct' [Putnam]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
Zeno said live in agreement with nature, which accords with virtue [Zeno of Citium, by Diog. Laertius]
Since we are essentially rational animals, living according to reason is living according to nature [Zeno of Citium, by Diog. Laertius]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
The word 'inconsiderate' nicely shows the blurring of facts and values [Putnam]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
The goal is to 'live in agreement', according to one rational consistent principle [Zeno of Citium, by Stobaeus]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Zeno saw virtue as a splendid state, not just a source of splendid action [Zeno of Citium, by Cicero]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean
One of Zeno's books was 'That Which is Appropriate' [Zeno of Citium, by Long]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Zeno says there are four main virtues, which are inseparable but distinct [Zeno of Citium, by Plutarch]
27. Natural Reality / C. Space / 1. Void
There is no void in the cosmos, but indefinite void outside it [Zeno of Citium, by Ps-Plutarch]
27. Natural Reality / E. Cosmology / 1. Cosmology
Things are more perfect if they have reason; nothing is more perfect than the universe, so it must have reason [Zeno of Citium]
Since the cosmos produces what is alive and rational, it too must be alive and rational [Zeno of Citium]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
Rational is better than non-rational; the cosmos is supreme, so it is rational [Zeno of Citium]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
If tuneful flutes grew on olive trees, you would assume the olive had some knowledge of the flute [Zeno of Citium]
28. God / C. Attitudes to God / 2. Pantheism
The cosmos and heavens are the substance of god [Zeno of Citium, by Diog. Laertius]