Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'How to Define Theoretical Terms' and 'On Propositions: What they are, and Meaning'

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24 ideas

2. Reason / D. Definition / 2. Aims of Definition
Defining terms either enables elimination, or shows that they don't require elimination [Lewis]
3. Truth / A. Truth Problems / 5. Truth Bearers
In its primary and formal sense, 'true' applies to propositions, not beliefs [Russell]
3. Truth / B. Truthmakers / 1. For Truthmakers
The truth or falsehood of a belief depends upon a fact to which the belief 'refers' [Russell]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Propositions of existence, generalities, disjunctions and hypotheticals make correspondence tricky [Russell]
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
Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
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]
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]
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]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
A logically determinate name names the same thing in every possible world [Lewis]
11. Knowledge Aims / A. Knowledge / 4. Belief / b. Elements of beliefs
The three questions about belief are its contents, its success, and its character [Russell]
14. Science / B. Scientific Theories / 8. Ramsey Sentences
A Ramsey sentence just asserts that a theory can be realised, without saying by what [Lewis]
There is a method for defining new scientific terms just using the terms we already understand [Lewis]
It is better to have one realisation of a theory than many - but it may not always be possible [Lewis]
The Ramsey sentence of a theory says that it has at least one realisation [Lewis]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
If we object to all data which is 'introspective' we will cease to believe in toothaches [Russell]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
There are distinct sets of psychological and physical causal laws [Russell]
19. Language / D. Propositions / 1. Propositions
Our important beliefs all, if put into words, take the form of propositions [Russell]
A proposition expressed in words is a 'word-proposition', and one of images an 'image-proposition' [Russell]
A proposition is what we believe when we believe truly or falsely [Russell]