Combining Texts

All the ideas for 'Philosophy of Mathematics', 'On the Nature of the Gods ('De natura deorum')' and 'Essence and Modality'

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45 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
My account shows how the concept works, rather than giving an analysis [Fine,K]
2. Reason / D. Definition / 4. Real Definition
Modern philosophy has largely abandoned real definitions, apart from sortals [Fine,K]
2. Reason / D. Definition / 6. Definition by Essence
Defining a term and giving the essence of an object don't just resemble - they are the same [Fine,K]
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
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]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
7. Existence / C. Structure of Existence / 4. Ontological Dependence
An object is dependent if its essence prevents it from existing without some other object [Fine,K]
9. Objects / D. Essence of Objects / 2. Types of Essence
Essences are either taken as real definitions, or as necessary properties [Fine,K]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
Essentially having a property is naturally expressed as 'the property it must have to be what it is' [Fine,K]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
Simple modal essentialism refers to necessary properties of an object [Fine,K]
Essentialist claims can be formulated more clearly with quantified modal logic [Fine,K]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Metaphysical necessity is a special case of essence, not vice versa [Fine,K]
Essence as necessary properties produces a profusion of essential properties [Fine,K, by Lowe]
The nature of singleton Socrates has him as a member, but not vice versa [Fine,K]
It is not part of the essence of Socrates that a huge array of necessary truths should hold [Fine,K]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
An essential property of something must be bound up with what it is to be that thing [Fine,K, by Rami]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Essential properties are part of an object's 'definition' [Fine,K, by Rami]
9. Objects / E. Objects over Time / 12. Origin as Essential
If Socrates lacks necessary existence, then his nature cannot require his parents' existence [Fine,K]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
The subject of a proposition need not be the source of its necessity [Fine,K]
10. Modality / C. Sources of Modality / 4. Necessity from Concepts
Conceptual necessities rest on the nature of all concepts [Fine,K]
10. Modality / C. Sources of Modality / 6. Necessity from Essence
Socrates is necessarily distinct from the Eiffel Tower, but that is not part of his essence [Fine,K]
Metaphysical necessities are true in virtue of the nature of all objects [Fine,K]
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]
19. Language / E. Analyticity / 2. Analytic Truths
Analytic truth may only be true in virtue of the meanings of certain terms [Fine,K]
The meaning of 'bachelor' is irrelevant to the meaning of 'unmarried man' [Fine,K]
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
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]
It is obvious from order that someone is in charge, as when we visit a gymnasium [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]