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All the ideas for 'Topics', 'Philosophy of Mathematics' and 'Second Treatise of Government'

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88 ideas

1. Philosophy / F. Analytic Philosophy / 2. Analysis by Division
Begin examination with basics, and subdivide till you can go no further [Aristotle]
2. Reason / C. Styles of Reason / 1. Dialectic
Dialectic starts from generally accepted opinions [Aristotle]
2. Reason / D. Definition / 1. Definitions
There can't be one definition of two things, or two definitions of the same thing [Aristotle]
Definitions are easily destroyed, since they can contain very many assertions [Aristotle]
2. Reason / D. Definition / 5. Genus and Differentia
In definitions the first term to be assigned ought to be the genus [Aristotle]
We describe the essence of a particular thing by means of its differentiae [Aristotle]
The differentia indicate the qualities, but not the essence [Aristotle]
The genera and the differentiae are part of the essence [Aristotle]
Differentia are generic, and belong with genus [Aristotle]
'Genus' is part of the essence shared among several things [Aristotle]
2. Reason / D. Definition / 6. Definition by Essence
The definition is peculiar to one thing, not common to many [Aristotle]
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
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]
5. Theory of Logic / L. Paradox / 2. Aporiai
Puzzles arise when reasoning seems equal on both sides [Aristotle]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
Unit is the starting point of number [Aristotle]
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 / E. Categories / 3. Proposed Categories
There are ten categories: essence, quantity, quality, relation, place, time, position, state, activity, passivity [Aristotle]
8. Modes of Existence / B. Properties / 1. Nature of Properties
An individual property has to exist (in past, present or future) [Aristotle]
8. Modes of Existence / B. Properties / 3. Types of Properties
An 'accident' is something which may possibly either belong or not belong to a thing [Aristotle]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Genus gives the essence better than the differentiae do [Aristotle]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
In the case of a house the parts can exist without the whole, so parts are not the whole [Aristotle]
9. Objects / D. Essence of Objects / 3. Individual Essences
Everything that is has one single essence [Aristotle]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
An 'idion' belongs uniquely to a thing, but is not part of its essence [Aristotle]
9. Objects / E. Objects over Time / 11. End of an Object
Destruction is dissolution of essence [Aristotle]
9. Objects / E. Objects over Time / 12. Origin as Essential
If two things are the same, they must have the same source and origin [Aristotle]
9. Objects / F. Identity among Objects / 9. Sameness
'Same' is mainly for names or definitions, but also for propria, and for accidents [Aristotle]
Two identical things have the same accidents, they are the same; if the accidents differ, they're different [Aristotle]
Numerical sameness and generic sameness are not the same [Aristotle]
10. Modality / A. Necessity / 6. Logical Necessity
Reasoning is when some results follow necessarily from certain claims [Aristotle]
14. Science / C. Induction / 1. Induction
Induction is the progress from particulars to universals [Aristotle]
14. Science / C. Induction / 3. Limits of Induction
We say 'so in cases of this kind', but how do you decide what is 'of this kind'? [Aristotle]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Friendship is preferable to money, since its excess is preferable [Aristotle]
Justice and self-control are better than courage, because they are always useful [Aristotle]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
We value friendship just for its own sake [Aristotle]
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
Man is intrinsically a civilized animal [Aristotle]
24. Political Theory / A. Basis of a State / 1. A People / b. The natural life
All countries are in a mutual state of nature [Locke]
We are not created for solitude, but are driven into society by our needs [Locke]
24. Political Theory / A. Basis of a State / 3. Natural Values / a. Natural freedom
In nature men can dispose of possessions and their persons in any way that is possible [Locke]
24. Political Theory / A. Basis of a State / 3. Natural Values / b. Natural equality
There is no subjection in nature, and all creatures of the same species are equal [Locke]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
The rational law of nature says we are all equal and independent, and should show mutual respect [Locke]
The animals and fruits of the earth belong to mankind [Locke]
There is a natural right to inheritance within a family [Locke]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
Politics is the right to make enforceable laws to protect property and the state, for the common good [Locke]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
The Second Treatise explores the consequences of the contractual view of the state [Locke, by Scruton]
A society only begins if there is consent of all the individuals to join it [Locke]
If anyone enjoys the benefits of government (even using a road) they give tacit assent to its laws [Locke]
A politic society is created from a state of nature by a unanimous agreement [Locke]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
A single will creates the legislature, which is duty-bound to preserve that will [Locke]
24. Political Theory / B. Nature of a State / 4. Citizenship
Anyone who enjoys the benefits of a state has given tacit consent to be part of it [Locke]
You can only become an actual member of a commonwealth by an express promise [Locke]
Children are not born into citizenship of a state [Locke]
24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy
Absolute monarchy is inconsistent with civil society [Locke]
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
The idea that absolute power improves mankind is confuted by history [Locke]
Despotism is arbitrary power to kill, based neither on natural equality, nor any social contract [Locke]
People stripped of their property are legitimately subject to despotism [Locke]
Legitimate prisoners of war are subject to despotism, because that continues the state of war [Locke]
24. Political Theory / C. Ruling a State / 3. Government / b. Legislature
Even the legislature must be preceded by a law which gives it power to make laws [Locke]
24. Political Theory / C. Ruling a State / 3. Government / c. Executive
The executive must not be the legislature, or they may exempt themselves from laws [Locke]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
Any obstruction to the operation of the legislature can be removed forcibly by the people [Locke]
Rebelling against an illegitimate power is no sin [Locke]
If legislators confiscate property, or enslave people, they are no longer owed obedience [Locke]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Unanimous consent makes a united community, which is then ruled by the majority [Locke]
The people have supreme power, to depose a legislature which has breached their trust [Locke]
25. Social Practice / A. Freedoms / 1. Slavery
If you try to enslave me, you have declared war on me [Locke]
Slaves captured in a just war have no right to property, so are not part of civil society [Locke]
A master forfeits ownership of slaves he abandons [Locke]
25. Social Practice / A. Freedoms / 6. Political freedom
Freedom is not absence of laws, but living under laws arrived at by consent [Locke]
25. Social Practice / B. Equalities / 4. Economic equality
All value depends on the labour involved [Locke]
25. Social Practice / C. Rights / 3. Alienating rights
We all own our bodies, and the work we do is our own [Locke]
There is only a civil society if the members give up all of their natural executive rights [Locke]
25. Social Practice / C. Rights / 4. Property rights
Locke (and Marx) held that ownership of objects is a natural relation, based on the labour put into it [Locke, by Fogelin]
Locke says 'mixing of labour' entitles you to land, as well as nuts and berries [Wolff,J on Locke]
A man's labour gives ownership rights - as long as there are fair shares for all [Locke]
If a man mixes his labour with something in Nature, he thereby comes to own it [Locke]
Fountain water is everyone's, but a drawn pitcher of water has an owner [Locke]
Gathering natural fruits gives ownership; the consent of other people is irrelevant [Locke]
Mixing labour with a thing bestows ownership - as long as the thing is not wasted [Locke]
A man owns land if he cultivates it, to the limits of what he needs [Locke]
Soldiers can be commanded to die, but not to hand over their money [Locke]
25. Social Practice / D. Justice / 2. The Law / a. Legal system
The aim of law is not restraint, but to make freedom possible [Locke]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
It is only by a law of Nature that we can justify punishing foreigners [Locke]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Self-defence is natural, but not the punishment of superiors by inferiors [Locke]
Reparation and restraint are the only justifications for punishment [Locke]
Punishment should make crime a bad bargain, leading to repentance and deterrence [Locke]
25. Social Practice / E. Policies / 4. Taxation
The consent of the people is essential for any tax [Locke]
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
All water is the same, because of a certain similarity [Aristotle]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
'Being' and 'oneness' are predicated of everything which exists [Aristotle]