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All the ideas for 'works (fragments)', 'Mathematics is Megethology' and 'Models and Reality'

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42 ideas

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 / 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 / 1. Set Theory
Mathematics reduces to set theory, which reduces, with some mereology, to the singleton function [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
We can accept the null set, but not a null class, a class lacking members [Lewis]
The null set is not a little speck of sheer nothingness, a black hole in Reality [Lewis]
The null set plays the role of last resort, for class abstracts and for existence [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
What on earth is the relationship between a singleton and an element? [Lewis]
Are all singletons exact intrinsic duplicates? [Lewis]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
V = L just says all sets are constructible [Putnam]
The Löwenheim-Skolem theorems show that whether all sets are constructible is indeterminate [Putnam, by Shapiro]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Megethology is the result of adding plural quantification to mereology [Lewis]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
We can use mereology to simulate quantification over relations [Lewis]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language [Putnam]
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 / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mathematics is generalisations about singleton functions [Lewis]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
We don't need 'abstract structures' to have structural truths about successor functions [Lewis]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
It is unfashionable, but most mathematical intuitions come from nature [Putnam]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Whatever participates in substance exists [Zeno of Citium, by Stobaeus]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
I say that absolutely any things can have a mereological fusion [Lewis]
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]
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]
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]
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 / 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
Since the cosmos produces what is alive and rational, it too must be alive and rational [Zeno of Citium]
Things are more perfect if they have reason; nothing is more perfect than the universe, so it must have reason [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]