Combining Texts

All the ideas for 'Logical Consequence', 'Remarks on the Foundations of Mathematics' and 'Shame and Necessity'

expand these ideas     |    start again     |     specify just one area for these texts


20 ideas

3. Truth / H. Deflationary Truth / 1. Redundant Truth
'It is true that this follows' means simply: this follows [Wittgenstein]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Validity is explained as truth in all models, because that relies on the logical terms [McGee]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Natural language includes connectives like 'because' which are not truth-functional [McGee]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Second-order variables need to range over more than collections of first-order objects [McGee]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
An ontologically secure semantics for predicate calculus relies on sets [McGee]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logically valid sentences are analytic truths which are just true because of their logical words [McGee]
5. Theory of Logic / K. Features of Logics / 3. Soundness
Soundness theorems are uninformative, because they rely on soundness in their proofs [McGee]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
The culmination of Euclidean geometry was axioms that made all models isomorphic [McGee]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Two and one making three has the necessity of logical inference [Wittgenstein]
16. Persons / F. Free Will / 5. Against Free Will
It is an absurd Kantian idea that at the limit rationality and freedom coincide [Williams,B]
There is only a problem of free will if you think the notion of 'voluntary' can be metaphysically deepened [Williams,B]
19. Language / F. Communication / 2. Assertion
A maxim claims that if we are allowed to assert a sentence, that means it must be true [McGee]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
We judge weakness of will by an assessment after the event is concluded [Williams,B, by Cottingham]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Responsibility involves cause, intention, state of mind, and response after the event [Williams,B]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
In bad actions, guilt points towards victims, and shame to the agent [Williams,B]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Greek moral progress came when 'virtue' was freed from social status [Williams,B]
23. Ethics / D. Deontological Ethics / 2. Duty
The modern idea of duty is unknown in archaic Greece [Williams,B]
23. Ethics / D. Deontological Ethics / 6. Motivation for Duty
If the moral self is seen as characterless, then other people have a very limited role in our moral lives [Williams,B]
If reason cannot lead people to good, we must hope they have an internal voice [Williams,B]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
There is a problem of evil only if you expect the world to be good [Williams,B]