Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'Notebooks 1914-1916' and 'Structure and Nature'

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20 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Analysis complicates a statement, but only as far as the complexity of its meaning [Wittgenstein]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
We can dispense with self-evidence, if language itself prevents logical mistakes [Jeshion on Wittgenstein]
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 / E. Structures of Logic / 1. Logical Form
A statement's logical form derives entirely from its constituents [Wittgenstein]
Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
'And' and 'not' are non-referring terms, which do not represent anything [Wittgenstein, by Fogelin]
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 / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
I apply structuralism to concrete and abstract objects indiscriminately [Quine]
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]
7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms
The sense of propositions relies on the world's basic logical structure [Wittgenstein]
7. Existence / D. Theories of Reality / 6. Physicalism
My ontology is quarks etc., classes of such things, classes of such classes etc. [Quine]
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 / 5. A Priori Synthetic
My main problem is the order of the world, and whether it is knowable a priori [Wittgenstein]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
The philosophical I is the metaphysical subject, the limit - not a part of the world [Wittgenstein]
19. Language / A. Nature of Meaning / 2. Meaning as Mental
Propositions assemble a world experimentally, like the model of a road accident [Wittgenstein]
25. Social Practice / F. Life Issues / 4. Suicide
Absolute prohibitions are the essence of ethics, and suicide is the most obvious example [Wittgenstein]