Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Logological Fragments I' and 'Philosophy of Logic'

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25 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy
The history of philosophy is just experiments in how to do philosophy [Novalis]
1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy only begins when it studies itself [Novalis]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
For scientific purposes there is a precise concept of 'true-in-L', using set theory [Putnam]
4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
Modern notation frees us from Aristotle's restriction of only using two class-names in premises [Putnam]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
The universal syllogism is now expressed as the transitivity of subclasses [Putnam]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / a. Symbols of PC
'⊃' ('if...then') is used with the definition 'Px ⊃ Qx' is short for '¬(Px & ¬Qx)' [Putnam]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / a. Types of set
In type theory, 'x ∈ y' is well defined only if x and y are of the appropriate type [Putnam]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Before the late 19th century logic was trivialised by not dealing with relations [Putnam]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Asserting first-order validity implicitly involves second-order reference to classes [Putnam]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Unfashionably, I think logic has an empirical foundation [Putnam]
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
We can identify functions with certain sets - or identify sets with certain functions [Putnam]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Having a valid form doesn't ensure truth, as it may be meaningless [Putnam]
5. Theory of Logic / L. Paradox / 2. Aporiai
A problem is a solid mass, which the mind must break up [Novalis]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Whoever first counted to two must have seen the possibility of infinite counting [Novalis]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
Sets larger than the continuum should be studied in an 'if-then' spirit [Putnam]
7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)
Novalis thought self-consciousness cannot disclose 'being', because we are temporal creatures [Novalis, by Pinkard]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism only makes sense if it is materialist [Putnam]
9. Objects / A. Existence of Objects / 2. Abstract Objects / b. Need for abstracta
Physics is full of non-physical entities, such as space-vectors [Putnam]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
Poetry is true idealism, and the self-consciousness of the universe [Novalis]
14. Science / A. Basis of Science / 4. Prediction
Most predictions are uninteresting, and are only sought in order to confirm a theory [Putnam]
19. Language / F. Communication / 4. Private Language
Every person has his own language [Novalis]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Morality and philosophy are mutually dependent [Novalis]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
23. Ethics / F. Existentialism / 7. Existential Action
Life isn't given to us like a novel - we write the novel [Novalis]
25. Social Practice / E. Policies / 5. Education / c. Teaching
If the pupil really yearns for the truth, they only need a hint [Novalis]