Combining Texts

All the ideas for 'What is Logic?st1=Ian Hacking', 'MacIntyre versus the Enlightenment' and 'Daodejing (Tao Te Ching)'

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27 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 / 3. Types of Definition
A decent modern definition should always imply a semantics [Hacking]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / d. Basic theorems of PL
'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking]
Gentzen's Cut Rule (or transitivity of deduction) is 'If A |- B and B |- C, then A |- C' [Hacking]
Only Cut reduces complexity, so logic is constructive without it, and it can be dispensed with [Hacking]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
The various logics are abstractions made from terms like 'if...then' in English [Hacking]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking]
A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Second-order completeness seems to need intensional entities and possible worlds [Hacking]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
With a pure notion of truth and consequence, the meanings of connectives are fixed syntactically [Hacking]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
Perhaps variables could be dispensed with, by arrows joining places in the scope of quantifiers [Hacking]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking]
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)]
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
You would have to be very morally lazy to ignore criticisms of your own culture [Nagel]
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)]