Combining Texts

All the ideas for 'The Advancement of Learning', 'Model Theory' and 'Enquiry concerning Principles of Morals'

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31 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is the best knowledge, because it is the simplest [Bacon]
1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Natural history supports physical knowledge, which supports metaphysical knowledge [Bacon]
1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Physics studies transitory matter; metaphysics what is abstracted and necessary [Bacon]
Physics is of material and efficient causes, metaphysics of formal and final causes [Bacon]
2. Reason / D. Definition / 7. Contextual Definition
The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
|= in model-theory means 'logical consequence' - it holds in all models [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
|= should be read as 'is a model for' or 'satisfies' [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
Models in model theory are structures, not sets of descriptions [Hodges,W]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
First-order logic can't discriminate between one infinite cardinal and another [Hodges,W]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
We don't assume there is no land, because we can only see sea [Bacon]
14. Science / A. Basis of Science / 3. Experiment
Science moves up and down between inventions of causes, and experiments [Bacon]
14. Science / B. Scientific Theories / 5. Commensurability
Many different theories will fit the observed facts [Bacon]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
People love (unfortunately) extreme generality, rather than particular knowledge [Bacon]
22. Metaethics / B. Value / 2. Values / f. Altruism
The human heart has a natural concern for public good [Hume]
23. Ethics / A. Egoism / 1. Ethical Egoism
No moral theory is of any use if it doesn't serve the interests of the individual concerned [Hume]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Personal Merit is the possession of useful or agreeable mental qualities [Hume]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Justice only exists to support society [Hume]
If we all naturally had everything we could ever desire, the virtue of justice would be irrelevant [Hume]
23. Ethics / D. Deontological Ethics / 2. Duty
Moral philosophy aims to show us our duty [Hume]
23. Ethics / D. Deontological Ethics / 6. Motivation for Duty
Conclusions of reason do not affect our emotions or decisions to act [Hume]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Virtue just requires careful calculation and a preference for the greater happiness [Hume]
23. Ethics / E. Utilitarianism / 3. Motivation for Altruism
No one would cause pain to a complete stranger who happened to be passing [Hume]
Nature makes private affections come first, because public concerns are spread too thinly [Hume]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
The safety of the people is the supreme law [Hume]
24. Political Theory / C. Ruling a State / 3. Government / a. Government
Society prefers helpful lies to harmful truth [Hume]
25. Social Practice / B. Equalities / 4. Economic equality
If you equalise possessions, people's talents will make them unequal again [Hume]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / c. Purpose denied
Teleological accounts are fine in metaphysics, but they stop us from searching for the causes [Bacon]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
Essences are part of first philosophy, but as part of nature, not part of logic [Bacon]