Combining Texts

All the ideas for 'fragments/reports', 'Philosophy of Logic' and 'Second Treatise of Government'

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65 ideas

3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
For scientific purposes there is a precise concept of 'true-in-L', using set theory [Putnam]
4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
Modern notation frees us from Aristotle's restriction of only using two class-names in premises [Putnam]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
The universal syllogism is now expressed as the transitivity of subclasses [Putnam]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / a. Symbols of PC
'⊃' ('if...then') is used with the definition 'Px ⊃ Qx' is short for '¬(Px & ¬Qx)' [Putnam]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / a. Types of set
In type theory, 'x ∈ y' is well defined only if x and y are of the appropriate type [Putnam]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Before the late 19th century logic was trivialised by not dealing with relations [Putnam]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Asserting first-order validity implicitly involves second-order reference to classes [Putnam]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Unfashionably, I think logic has an empirical foundation [Putnam]
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
We can identify functions with certain sets - or identify sets with certain functions [Putnam]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Having a valid form doesn't ensure truth, as it may be meaningless [Putnam]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
Sets larger than the continuum should be studied in an 'if-then' spirit [Putnam]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism only makes sense if it is materialist [Putnam]
9. Objects / A. Existence of Objects / 2. Abstract Objects / b. Need for abstracta
Physics is full of non-physical entities, such as space-vectors [Putnam]
14. Science / A. Basis of Science / 4. Prediction
Most predictions are uninteresting, and are only sought in order to confirm a theory [Putnam]
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
The people have supreme power, to depose a legislature which has breached their trust [Locke]
Unanimous consent makes a united community, which is then ruled by the majority [Locke]
25. Social Practice / A. Freedoms / 1. Slavery
A master forfeits ownership of slaves he abandons [Locke]
Slaves captured in a just war have no right to property, so are not part of civil society [Locke]
If you try to enslave me, you have declared war on me [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
There is only a civil society if the members give up all of their natural executive rights [Locke]
We all own our bodies, and the work we do is our own [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
Reparation and restraint are the only justifications for punishment [Locke]
Self-defence is natural, but not the punishment of superiors by inferiors [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]