Combining Texts

All the ideas for 'Timaeus', 'Il Saggiatore ('The Assayer')' and 'On Platonism in Mathematics'

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33 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
For relaxation one can consider the world of change, instead of eternal things [Plato]
1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Philosophy is the supreme gift of the gods to mortals [Plato]
2. Reason / B. Laws of Thought / 2. Sufficient Reason
Nothing can come to be without a cause [Plato]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Very few things in set theory remain valid in intuitionist mathematics [Bernays]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Mathematical abstraction just goes in a different direction from logic [Bernays]
7. Existence / A. Nature of Existence / 3. Being / c. Becoming
Before the existence of the world there must have been being, space and becoming [Plato]
The apprehensions of reason remain unchanging, but reasonless sensation shows mere becoming [Plato]
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
Plato's Forms were seen as part of physics, rather than of metaphysics [Plato, by Annas]
Something will always be well-made if the maker keeps in mind the eternal underlying pattern [Plato]
In addition to the underlying unchanging model and a changing copy of it, there must also be a foundation of all change [Plato]
For knowledge and true opinion to be different there must be Forms; otherwise we are just stuck with sensations [Plato]
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
The universe is basically an intelligible and unchanging model, and a visible and changing copy of it [Plato]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Heat and colour don't exist, so cannot mislead about the external world [Galileo, by Tuck]
Tastes, odours and colours only reside in consciousness, and would disappear with creatures [Galileo]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Only bird-brained people think astronomy is entirely a matter of evidence [Plato]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
Galileo introduced geometrico-mechanical explanation, based on Archimedes [Galileo, by Machamer/Darden/Craver]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
Plato says the soul is ordered by number [Plato, by Plutarch]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
No one wants to be bad, but bad men result from physical and educational failures, which they do not want or choose [Plato]
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
Music has harmony like the soul, and serves to reorder disharmony within us [Plato]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
One should exercise both the mind and the body, to avoid imbalance [Plato]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
Everything that takes place naturally is pleasant [Plato]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
Intelligence is the result of rational teaching; true opinion can result from irrational persuasion [Plato]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Bad governments prevent discussion, and discourage the study of virtue [Plato]
26. Natural Theory / A. Speculations on Nature / 1. Nature
The creator of the cosmos had no envy, and so wanted things to be as like himself as possible [Plato]
The cosmos must be unique, because it resembles the creator, who is unique [Plato]
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
To understand the universe mathematics is essential [Galileo]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
We must consider the four basic shapes as too small to see, only becoming visible in large numbers [Plato]
26. Natural Theory / C. Causation / 1. Causation
There are two types of cause, the necessary and the divine [Plato]
27. Natural Reality / D. Time / 2. Passage of Time / a. Experience of time
Heavenly movements gave us the idea of time, and caused us to inquire about the heavens [Plato]
27. Natural Reality / D. Time / 3. Parts of Time / a. Beginning of time
Time came into existence with the heavens, so that there will be a time when they can be dissolved [Plato]
27. Natural Reality / E. Cosmology / 1. Cosmology
Clearly the world is good, so its maker must have been concerned with the eternal, not with change [Plato]
27. Natural Reality / E. Cosmology / 3. The Beginning
If the cosmos is an object of perception then it must be continually changing [Plato]