Combining Texts

All the ideas for 'Structure and Nature', 'Daodejing (Tao Te Ching)' and 'Grundgesetze der Arithmetik 2 (Basic Laws)'

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29 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)]
2. Reason / D. Definition / 2. Aims of Definition
Later Frege held that definitions must fix a function's value for every possible argument [Frege, by Wright,C]
2. Reason / D. Definition / 7. Contextual Definition
We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege]
2. Reason / D. Definition / 11. Ostensive Definition
Only what is logically complex can be defined; what is simple must be pointed to [Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Cardinals say how many, and reals give measurements compared to a unit quantity [Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities [Frege, by Dummett]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
A number is a class of classes of the same cardinality [Frege, by Dummett]
Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
I apply structuralism to concrete and abstract objects indiscriminately [Quine]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett]
Only applicability raises arithmetic from a game to a science [Frege]
7. Existence / D. Theories of Reality / 6. Physicalism
My ontology is quarks etc., classes of such things, classes of such classes etc. [Quine]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
The first demand of logic is of a sharp boundary [Frege]
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 / 3. Abstracta by Ignoring
The modern account of real numbers detaches a ratio from its geometrical origins [Frege]
18. Thought / E. Abstraction / 8. Abstractionism Critique
If we abstract the difference between two houses, they don't become the same house [Frege]
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)]