Combining Texts

All the ideas for 'German Philosophy: a very short introduction', 'The Art of Rhetoric' and 'Cardinality, Counting and Equinumerosity'

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32 ideas

2. Reason / A. Nature of Reason / 1. On Reason
Desired responsible actions result either from rational or from irrational desire [Aristotle]
2. Reason / C. Styles of Reason / 1. Dialectic
It is the role of dialectic to survey syllogisms [Aristotle]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
The meaning of a number isn't just the numerals leading up to it [Heck]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / f. Cardinal numbers
A basic grasp of cardinal numbers needs an understanding of equinumerosity [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
In counting, numerals are used, not mentioned (as objects that have to correlated) [Heck]
Is counting basically mindless, and independent of the cardinality involved? [Heck]
Counting is the assignment of successively larger cardinal numbers to collections [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
Understanding 'just as many' needn't involve grasping one-one correspondence [Heck]
We can know 'just as many' without the concepts of equinumerosity or numbers [Heck]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Frege's Theorem explains why the numbers satisfy the Peano axioms [Heck]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Children can use numbers, without a concept of them as countable objects [Heck]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Equinumerosity is not the same concept as one-one correspondence [Heck]
We can understand cardinality without the idea of one-one correspondence [Heck]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Transcendental idealism aims to explain objectivity through subjectivity [Bowie]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
The Idealists saw the same unexplained spontaneity in Kant's judgements and choices [Bowie]
German Idealism tried to stop oppositions of appearances/things and receptivity/spontaneity [Bowie]
Crucial to Idealism is the idea of continuity between receptivity and spontaneous judgement [Bowie]
14. Science / A. Basis of Science / 6. Falsification
A single counterexample is enough to prove that a truth is not necessary [Aristotle]
14. Science / C. Induction / 1. Induction
Nobody fears a disease which nobody has yet caught [Aristotle]
19. Language / F. Communication / 1. Rhetoric
Rhetoric is a political offshoot of dialectic and ethics [Aristotle]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Pentathletes look the most beautiful, because they combine speed and strength [Aristotle]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Men are physically prime at thirty-five, and mentally prime at forty-nine [Aristotle]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
We all feel universal right and wrong, independent of any community or contracts [Aristotle]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Happiness is composed of a catalogue of internal and external benefits [Aristotle]
23. Ethics / A. Egoism / 1. Ethical Egoism
Self-interest is a relative good, but nobility an absolute good [Aristotle]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
The best virtues are the most useful to others [Aristotle]
All good things can be misused, except virtue [Aristotle]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
The young feel pity from philanthropy, but the old from self-concern [Aristotle]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
Rich people are mindlessly happy [Aristotle]
24. Political Theory / B. Nature of a State / 3. Constitutions
The four constitutions are democracy (freedom), oligarchy (wealth), aristocracy (custom), tyranny (security) [Aristotle]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
It is noble to avenge oneself on one's enemies, and not come to terms with them [Aristotle]
26. Natural Theory / C. Causation / 5. Direction of causation
People assume events cause what follows them [Aristotle]