Combining Texts

All the ideas for 'The Philosophy of Mathematics', 'The Book of Chuang Tzu' and 'Laws of Nature'

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49 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Words of wisdom are precise and clear [Zhuangzi (Chuang Tzu)]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Don't even start, let's just stay put [Zhuangzi (Chuang Tzu)]
2. Reason / C. Styles of Reason / 1. Dialectic
Disagreement means you do not understand at all [Zhuangzi (Chuang Tzu)]
2. Reason / C. Styles of Reason / 3. Eristic
If you beat me in argument, does that mean you are right? [Zhuangzi (Chuang Tzu)]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
The Square of Opposition has two contradictory pairs, one contrary pair, and one sub-contrary pair [Harré]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett]
The main alternative to ZF is one which includes looser classes as well as sets [Dummett]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
5. Theory of Logic / G. Quantification / 1. Quantification
Traditional quantifiers combine ordinary language generality and ontology assumptions [Harré]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
Some quantifiers, such as 'any', rule out any notion of order within their range [Harré]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths and inference are characterized either syntactically or semantically [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
Scientific properties are not observed qualities, but the dispositions which create them [Harré]
10. Modality / A. Necessity / 7. Natural Necessity
Laws of nature remain the same through any conditions, if the underlying mechanisms are unchanged [Harré]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Do not try to do things, or to master knowledge; just be empty [Zhuangzi (Chuang Tzu)]
13. Knowledge Criteria / D. Scepticism / 5. Dream Scepticism
You know you were dreaming when you wake, but there might then be a greater awakening from that [Zhuangzi (Chuang Tzu)]
Did Chuang Tzu dream he was a butterfly, or a butterfly dream he was Chuang Tzu? [Zhuangzi (Chuang Tzu)]
14. Science / A. Basis of Science / 1. Observation
In physical sciences particular observations are ordered, but in biology only the classes are ordered [Harré]
14. Science / A. Basis of Science / 3. Experiment
Reports of experiments eliminate the experimenter, and present results as the behaviour of nature [Harré]
14. Science / A. Basis of Science / 5. Anomalies
We can save laws from counter-instances by treating the latter as analytic definitions [Harré]
14. Science / B. Scientific Theories / 1. Scientific Theory
Since there are three different dimensions for generalising laws, no one system of logic can cover them [Harré]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
The grue problem shows that natural kinds are central to science [Harré]
'Grue' introduces a new causal hypothesis - that emeralds can change colour [Harré]
14. Science / C. Induction / 5. Paradoxes of Induction / b. Raven paradox
It is because ravens are birds that their species and their colour might be connected [Harré]
Non-black non-ravens just aren't part of the presuppositions of 'all ravens are black' [Harré]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
The necessity of Newton's First Law derives from the nature of material things, not from a mechanism [Harré]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
Idealisation idealises all of a thing's properties, but abstraction leaves some of them out [Harré]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
The perfect man has no self [Zhuangzi (Chuang Tzu)]
To see with true clarity, your self must be irrelevant [Zhuangzi (Chuang Tzu)]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
If words can't be defined, they may just be the chirruping of chicks [Zhuangzi (Chuang Tzu)]
19. Language / D. Propositions / 4. Mental Propositions
Words are for meaning, and once you have that you can forget the words [Zhuangzi (Chuang Tzu)]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Great courage is not violent [Zhuangzi (Chuang Tzu)]
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
Science rests on the principle that nature is a hierarchy of natural kinds [Harré]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Classification is just as important as laws in natural science [Harré]
Newton's First Law cannot be demonstrated experimentally, as that needs absence of external forces [Harré]
26. Natural Theory / D. Laws of Nature / 2. Types of Laws
Laws can come from data, from theory, from imagination and concepts, or from procedures [Harré]
Are laws of nature about events, or types and universals, or dispositions, or all three? [Harré]
Are laws about what has or might happen, or do they also cover all the possibilities? [Harré]
26. Natural Theory / D. Laws of Nature / 5. Laws from Universals
Maybe laws of nature are just relations between properties? [Harré]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
We take it that only necessary happenings could be laws [Harré]
Must laws of nature be universal, or could they be local? [Harré]
Laws describe abstract idealisations, not the actual mess of nature [Harré]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Laws of nature state necessary connections of things, events and properties, based on models of mechanisms [Harré]
26. Natural Theory / D. Laws of Nature / 9. Counterfactual Claims
In counterfactuals we keep substances constant, and imagine new situations for them [Harré]
27. Natural Reality / G. Biology / 2. Life
As all life is one, what need is there for words? [Zhuangzi (Chuang Tzu)]
29. Religion / C. Spiritual Disciplines / 2. Taoism
Go with the flow, and be one with the void of Heaven [Zhuangzi (Chuang Tzu)]
Fish forget about each other in the pond and forget each other in the Tao [Zhuangzi (Chuang Tzu)]