Combining Texts

All the ideas for 'fragments/reports', 'A Structural Account of Mathematics' and 'Daodejing (Tao Te Ching)'

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34 ideas

1. Philosophy / A. Wisdom / 2. Wise People
Wise people choose inaction and silence [Laozi (Lao Tzu)]
One who knows does not speak; one who speaks does not know [Laozi (Lao Tzu)]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Vulgar people are alert; I alone am muddled [Laozi (Lao Tzu)]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
Realists about sets say there exists a null set in the real world, with no members [Chihara]
We only know relational facts about the empty set, but nothing intrinsic [Chihara]
In simple type theory there is a hierarchy of null sets [Chihara]
The null set is a structural position which has no other position in membership relation [Chihara]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
What is special about Bill Clinton's unit set, in comparison with all the others? [Chihara]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing
The set theorist cannot tell us what 'membership' is [Chihara]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
ZFU refers to the physical world, when it talks of 'urelements' [Chihara]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
A pack of wolves doesn't cease when one member dies [Chihara]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
The mathematics of relations is entirely covered by ordered pairs [Chihara]
5. Theory of Logic / K. Features of Logics / 2. Consistency
Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Analytic geometry gave space a mathematical structure, which could then have axioms [Chihara]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
We can replace existence of sets with possibility of constructing token sentences [Chihara, by MacBride]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
If a successful theory confirms mathematics, presumably a failed theory disconfirms it? [Chihara]
No scientific explanation would collapse if mathematical objects were shown not to exist [Chihara]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
To know yet to think that one does not know is best [Laozi (Lao Tzu)]
Pursuit of learning increases activity; the Way decreases it [Laozi (Lao Tzu)]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
I prefer the open sentences of a Constructibility Theory, to Platonist ideas of 'equivalence classes' [Chihara]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Mathematical entities are causally inert, so the causal theory of reference won't work for them [Chihara]
19. Language / F. Communication / 1. Rhetoric
Truth is not beautiful; beautiful speech is not truthful [Laozi (Lao Tzu)]
22. Metaethics / B. Value / 2. Values / e. Death
One with no use for life is wiser than one who values it [Laozi (Lao Tzu)]
22. Metaethics / B. Value / 2. Values / g. Love
Do good to him who has done you an injury [Laozi (Lao Tzu)]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
The highest virtue is achieved without effort [Laozi (Lao Tzu)]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
To gain in goodness, treat as good those who are good, and those who are not [Laozi (Lao Tzu)]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / g. Desires
There is no crime greater than having too many desires [Laozi (Lao Tzu)]
24. Political Theory / C. Ruling a State / 2. Leaders / a. Autocracy
The best rulers are invisible, the next admired, the next feared, and the worst are exploited [Laozi (Lao Tzu)]
24. Political Theory / C. Ruling a State / 3. Government / a. Government
People are hard to govern because authorities love to do things [Laozi (Lao Tzu)]
25. Social Practice / D. Justice / 2. The Law / a. Legal system
The better known the law, the more criminals there are [Laozi (Lao Tzu)]
25. Social Practice / E. Policies / 1. War / e. Peace
A military victory is not a thing of beauty [Laozi (Lao Tzu)]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
'Gunk' is an individual possessing no parts that are atoms [Chihara]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]