Combining Texts

All the ideas for 'Axiomatic Theories of Truth (2005 ver)', 'Mathematical Methods in Philosophy' and 'Phaedo'

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40 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Wisdom makes virtue and true goodness possible [Plato]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
Philosophy is a purification of the soul ready for the afterlife [Plato]
2. Reason / A. Nature of Reason / 3. Pure Reason
In investigation the body leads us astray, but the soul gets a clear view of the facts [Plato]
2. Reason / A. Nature of Reason / 7. Status of Reason
The greatest misfortune for a person is to develop a dislike for argument [Plato]
3. Truth / A. Truth Problems / 2. Defining Truth
Truth definitions don't produce a good theory, because they go beyond your current language [Halbach]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
In semantic theories of truth, the predicate is in an object-language, and the definition in a metalanguage [Halbach]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Should axiomatic truth be 'conservative' - not proving anything apart from implications of the axioms? [Halbach]
If truth is defined it can be eliminated, whereas axiomatic truth has various commitments [Halbach]
Axiomatic theories of truth need a weak logical framework, and not a strong metatheory [Halbach]
Instead of a truth definition, add a primitive truth predicate, and axioms for how it works [Halbach]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Deflationists say truth merely serves to express infinite conjunctions [Halbach]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
To prove the consistency of set theory, we must go beyond set theory [Halbach]
5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
We can use truth instead of ontologically loaded second-order comprehension assumptions about properties [Halbach]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true' [Halbach]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
If you add one to one, which one becomes two, or do they both become two? [Plato]
7. Existence / A. Nature of Existence / 1. Nature of Existence
If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
8. Modes of Existence / A. Relations / 2. Internal Relations
If Simmias is taller than Socrates, that isn't a feature that is just in Simmias [Plato]
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
We must have a prior knowledge of equality, if we see 'equal' things and realise they fall short of it [Plato]
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
There is only one source for all beauty [Plato]
Other things are named after the Forms because they participate in them [Plato]
9. Objects / E. Objects over Time / 9. Ship of Theseus
The ship which Theseus took to Crete is now sent to Delos crowned with flowers [Plato]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / b. Recollection doctrine
People are obviously recollecting when they react to a geometrical diagram [Plato]
If we feel the inadequacy of a resemblance, we must recollect the original [Plato]
12. Knowledge Sources / A. A Priori Knowledge / 6. A Priori from Reason
To achieve pure knowledge, we must get rid of the body and contemplate things with the soul [Plato]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
To investigate the causes of things, study what is best for them [Plato]
15. Nature of Minds / A. Nature of Mind / 8. Brain
Do we think and experience with blood, air or fire, or could it be our brain? [Plato]
16. Persons / D. Continuity of the Self / 1. Identity and the Self
One soul can't be more or less of a soul than another [Plato]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
It is a mistake to think that the most violent pleasure or pain is therefore the truest reality [Plato]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
War aims at the acquisition of wealth, because we are enslaved to the body [Plato]
26. Natural Theory / C. Causation / 2. Types of cause
Fancy being unable to distinguish a cause from its necessary background conditions! [Plato]
27. Natural Reality / E. Cosmology / 1. Cosmology
If the Earth is spherical and in the centre, it is kept in place by universal symmetry, not by force [Plato]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Whether the soul pre-exists our body depends on whether it contains the ultimate standard of reality [Plato]