Combining Texts

All the ideas for 'Function and Concept', 'On Liberty' and 'Summa totius logicae'

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47 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction
From an impossibility anything follows [William of Ockham]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
A proposition is true if its subject and predicate stand for the same thing [William of Ockham]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Ockham had an early axiomatic account of truth [William of Ockham, by Halbach]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Frege thought traditional categories had psychological and linguistic impurities [Frege, by Rumfitt]
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
First-level functions have objects as arguments; second-level functions take functions as arguments [Frege]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
Relations are functions with two arguments [Frege]
5. Theory of Logic / G. Quantification / 1. Quantification
The word 'every' only signifies when added to a term such as 'man', referring to all men [William of Ockham]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Just as unity is not a property of a single thing, so numbers are not properties of many things [William of Ockham]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege]
7. Existence / A. Nature of Existence / 3. Being / g. Particular being
The words 'thing' and 'to be' assert the same idea, as a noun and as a verb [William of Ockham]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Frege takes the existence of horses to be part of their concept [Frege, by Sommers]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Frege allows either too few properties (as extensions) or too many (as predicates) [Mellor/Oliver on Frege]
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
Universals are single things, and only universal in what they signify [William of Ockham]
9. Objects / A. Existence of Objects / 3. Objects in Thought
The concept 'object' is too simple for analysis; unlike a function, it is an expression with no empty place [Frege]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
If essence and existence were two things, one could exist without the other, which is impossible [William of Ockham]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
Concepts are the ontological counterparts of predicative expressions [Frege, by George/Velleman]
An assertion about the concept 'horse' must indirectly speak of an object [Frege, by Hale]
A concept is a function whose value is always a truth-value [Frege]
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
Unlike objects, concepts are inherently incomplete [Frege, by George/Velleman]
19. Language / B. Reference / 5. Speaker's Reference
I may regard a thought about Phosphorus as true, and the same thought about Hesperus as false [Frege]
19. Language / D. Propositions / 4. Mental Propositions
Some concepts for propositions exist only in the mind, and in no language [William of Ockham]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
It is a crime for someone with a violent disposition to get drunk [Mill]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Ethics rests on utility, which is the permanent progressive interests of people [Mill]
24. Political Theory / A. Basis of a State / 3. Natural Values / a. Natural freedom
Individuals have sovereignty over their own bodies and minds [Mill]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
The will of the people is that of the largest or most active part of the people [Mill]
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
It is evil to give a government any more power than is necessary [Mill]
24. Political Theory / C. Ruling a State / 3. Government / a. Government
Individuals often do things better than governments [Mill]
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
Aim for the maximum dissemination of power consistent with efficiency [Mill]
24. Political Theory / D. Ideologies / 4. Social Utilitarianism
Maximise happiness by an area of strict privacy, and an area of utilitarian interventions [Mill, by Wolff,J]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
People who transact their own business will also have the initiative to control their government [Mill]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Prevention of harm to others is the only justification for exercising power over people [Mill]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
The worth of a State, in the long run, is the worth of the individuals composing it [Mill]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
The main argument for freedom is that interference with it is usually misguided [Mill]
25. Social Practice / A. Freedoms / 3. Free speech
Liberty arises at the point where people can freely and equally discuss things [Mill]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Utilitarianism values liberty, but guides us on which ones we should have or not have [Mill, by Wolff,J]
Mill defends freedom as increasing happiness, but maybe it is an intrinsic good [Wolff,J on Mill]
True freedom is pursuing our own good, while not impeding others [Mill]
Individuals are not accountable for actions which only concern themselves [Mill]
Blocking entry to an unsafe bridge does not infringe liberty, since no one wants unsafe bridges [Mill]
Pimping and running a gambling-house are on the border between toleration and restraint [Mill]
Restraint for its own sake is an evil [Mill]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Society can punish actions which it believes to be prejudicial to others [Mill]
25. Social Practice / E. Policies / 3. Welfare provision
Benefits performed by individuals, not by government, help also to educate them [Mill]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
We need individual opinions and conduct, and State education is a means to prevent that [Mill]
25. Social Practice / F. Life Issues / 3. Abortion
It is a crime to create a being who lacks the ordinary chances of a desirable existence [Mill]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The Ontological Argument fallaciously treats existence as a first-level concept [Frege]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
The ethics of the Gospel has been supplemented by barbarous Old Testament values [Mill]