Combining Texts

All the ideas for 'On the Nature of the Gods ('De natura deorum')', 'Model Theory' and 'Tarski's Theory of Truth'

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37 ideas

2. Reason / D. Definition / 7. Contextual Definition
The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
2. Reason / F. Fallacies / 5. Fallacy of Composition
If the parts of the universe are subject to the law of nature, the whole universe must also be subject to it [Cicero]
3. Truth / A. Truth Problems / 4. Uses of Truth
The notion of truth is to help us make use of the utterances of others [Field,H]
3. Truth / A. Truth Problems / 9. Rejecting Truth
In the early 1930s many philosophers thought truth was not scientific [Field,H]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
Tarski reduced truth to reference or denotation [Field,H, by Hart,WD]
Tarski really explained truth in terms of denoting, predicating and satisfied functions [Field,H]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
Tarski just reduced truth to some other undefined semantic notions [Field,H]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
|= in model-theory means 'logical consequence' - it holds in all models [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth
Tarski gives us the account of truth needed to build a group of true sentences in a model [Field,H]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
|= should be read as 'is a model for' or 'satisfies' [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
Models in model theory are structures, not sets of descriptions [Hodges,W]
Model theory is unusual in restricting the range of the quantifiers [Field,H]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
First-order logic can't discriminate between one infinite cardinal and another [Hodges,W]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
Why would mind mix with matter if it didn't need it? [Cicero]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
'Valence' and 'gene' had to be reduced to show their compatibility with physicalism [Field,H]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Field says reference is a causal physical relation between mental states and objects [Field,H, by Putnam]
19. Language / F. Communication / 1. Rhetoric
Eloquence educates, exhorts, comforts, distracts and unites us, and raises us from savagery [Cicero]
25. Social Practice / D. Justice / 3. Punishment / c. Deterrence of crime
We have the death penalty, but still have thousands of robbers [Cicero]
26. Natural Theory / A. Speculations on Nature / 1. Nature
Some regard nature simply as an irrational force that imparts movement [Cicero]
28. God / A. Divine Nature / 4. Divine Contradictions
Why shouldn't the gods fear their own destruction? [Cicero]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
I wonder whether loss of reverence for the gods would mean the end of all virtue [Cicero]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
God doesn't obey the laws of nature; they are subject to the law of God [Cicero]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
It seems clear to me that we have an innate idea of the divine [Cicero]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
Many primitive people know nothing of the gods [Cicero]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
It is obvious from order that someone is in charge, as when we visit a gymnasium [Cicero]
If a person cannot feel the power of God when looking at the stars, they are probably incapable of feeling [Cicero]
If the barbarians of Britain saw a complex machine, they would be baffled, but would know it was designed [Cicero]
Chance is no more likely to create the world than spilling lots of letters is likely to create a famous poem [Cicero]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
If everything with regular movement and order is divine, then recurrent illnesses must be divine [Cicero]
28. God / C. Attitudes to God / 1. Monotheism
Either the gods are identical, or one is more beautiful than another [Cicero]
28. God / C. Attitudes to God / 4. God Reflects Humanity
The gods are happy, so virtuous, so rational, so must have human shape [Cicero]
28. God / C. Attitudes to God / 5. Atheism
Why believe in gods if you have never seen them? [Cicero]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
The lists of good men who have suffered and bad men who have prospered are endless [Cicero]
29. Religion / D. Religious Issues / 3. Problem of Evil / b. Human Evil
The gods blame men for having vices, but they could have given us enough reason to avoid them [Cicero]