Combining Texts

All the ideas for 'Wiener Logik', 'Political Ideals' and 'The Nature of Mathematics'

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24 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
Philosophy is an experimental science, resting on common experience [Peirce]
     Full Idea: Philosophy, although it uses no microscopes or other apparatus of special observation, is really an experimental science, resting on that experience which is common to us all.
     From: Charles Sanders Peirce (The Nature of Mathematics [1898], I)
     A reaction: The 'experimental' either implies that thought-experiments are central to the subject, or that philosophers are discussing the findings of scientists, but at a high level of theory and abstraction. Peirce probably means the latter. I can't disagree.
2. Reason / B. Laws of Thought / 3. Non-Contradiction
Self-contradiction doesn't reveal impossibility; it is inductive impossibility which reveals self-contradiction [Peirce]
     Full Idea: It is an anacoluthon to say that a proposition is impossible because it is self-contradictory. It rather is thought so to appear self-contradictory because the ideal induction has shown it to be impossible.
     From: Charles Sanders Peirce (The Nature of Mathematics [1898], III)
2. Reason / D. Definition / 2. Aims of Definition
A simplification which is complete constitutes a definition [Kant]
     Full Idea: By dissection I can make the concept distinct only by making the marks it contains clear. That is what analysis does. If this analysis is complete ...and in addition there are not so many marks, then it is precise and so constitutes a definition.
     From: Immanuel Kant (Wiener Logik [1795], p.455), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap 1 'Conc'
     A reaction: I think Aristotle would approve of this. We need to grasp that a philosophical definition is quite different from a lexicographical definition. 'Completeness' may involve quite a lot.
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic gives us the necessary rules which show us how we ought to think [Kant]
     Full Idea: In logic the question is not one of contingent but of necessary rules, not how to think, but how we ought to think.
     From: Immanuel Kant (Wiener Logik [1795], p.16), quoted by Michael Potter - The Rise of Analytic Philosophy 1879-1930 02 'Trans'
     A reaction: Presumably it aspires to the objectivity of a single correct account of how we all ought to think. I'm sympathetic to that, rather than modern cultural relativism about reason. Logic is rooted in nature, not in arbitrary convention.
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Theoretical and practical politics are both concerned with the best lives for individuals [Russell]
     Full Idea: Political ideals must be based upon ideals for the individual life. The aim of politics should be to make the lives of individuals as good as possible.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: Russell floats between socialism and anarchism, but this foundational remark is classic liberalism.
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Logic, unlike mathematics, is not hypothetical; it asserts categorical ends from hypothetical means [Peirce]
     Full Idea: Mathematics is purely hypothetical: it produces nothing but conditional propositions. Logic, on the contrary, is categorical in its assertions. True, it is a normative science, and not a mere discovery of what really is. It discovers ends from means.
     From: Charles Sanders Peirce (The Nature of Mathematics [1898], II)
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Mathematics is close to logic, but is even more abstract [Peirce]
     Full Idea: The whole of the theory of numbers belongs to logic; or rather, it would do so, were it not, as pure mathematics, pre-logical, that is, even more abstract than logic.
     From: Charles Sanders Peirce (The Nature of Mathematics [1898], IV)
     A reaction: Peirce seems to flirt with logicism, but rejects in favour of some subtler relationship. I just don't believe that numbers are purely logical entities.
10. Modality / B. Possibility / 1. Possibility
Some logical possibility concerns single propositions, but there is also compatibility between propositions [Peirce]
     Full Idea: Many say everything is logically possible which involves no contradiction. In this sense two contradictory propositions may be severally possible. In the substantive sense, the contradictory of a possible proposition is impossible (if we were omniscient).
     From: Charles Sanders Peirce (The Nature of Mathematics [1898], III)
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Experience is indeed our only source of knowledge, provided we include inner experience [Peirce]
     Full Idea: If Mill says that experience is the only source of any kind of knowledge, I grant it at once, provided only that by experience he means personal history, life. But if he wants me to admit that inner experience is nothing, he asks what cannot be granted.
     From: Charles Sanders Peirce (The Nature of Mathematics [1898])
     A reaction: Notice from Idea 14785 that Peirce has ideas in mind, and not just inner experiences like hunger. Empiricism certainly begins to look more plausible if we expand the notion of experience. It must include what we learned from prior experience.
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
The world is one of experience, but experiences are always located among our ideas [Peirce]
     Full Idea: The real world is the world of sensible experience, and it is part of the process of sensible experience to locate its facts in the world of ideas.
     From: Charles Sanders Peirce (The Nature of Mathematics [1898], III)
     A reaction: This is the neatest demolition of the sharp dividing line between empiricism and rationalism that I have ever encountered.
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / b. Pro-externalism
If we knew what we know, we would be astonished [Kant]
     Full Idea: If we only know what we know ...we would be astonished by the treasures contained in our knowledge.
     From: Immanuel Kant (Wiener Logik [1795], p.843), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap 1 'Conc'
     A reaction: Nice remark. He doesn't require immediat recall of knowledge. You can't be required to know that you know something. That doesn't imply externalism, though. I believe in securely founded internal knowledge which is hard to recall.
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Ethics is the science of aims [Peirce]
     Full Idea: Ethics is the science of aims.
     From: Charles Sanders Peirce (The Nature of Mathematics [1898], II)
     A reaction: Intriguing slogan. He is discussing the aims of logic. I think what he means is that ethics is the science of value. 'Science' may be optimistic, but I would sort of agree with his basic idea.
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
Individuals need creativity, reverence for others, and self-respect [Russell]
     Full Idea: What we shall desire for individuals is now clear: strong creative impulses, overpowering and absorbing the instinct of possession; reverence for others; respect for the fundamental creative impulses in ourselves.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: Interesting that when Russell focuses on morality, he turns to virtues, rather than to rules. He uses 'reverence' where I would favour 'respect'. His concept of creativity is broad, and does not just concern art etc.
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
Democracy is inadequate without a great deal of devolution [Russell]
     Full Idea: Democracy is not at all an adequate device unless it is accompanied by a very great amount of devolution.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: This whole book of Russell's is an appeal for the devolution of power, and for workplace democracy.
We would not want UK affairs to be settled by a world parliament [Russell]
     Full Idea: We should none of us like the affairs of Great Britain to be settled by a parliament of the world.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: The UK is currently (Dec 2018) living with a plan to quit Europe, mainly on the grounds that a European parliament has some authority over Britain. In every country resentment of the government increases with distance from the capital city.
24. Political Theory / D. Ideologies / 2. Anarchism
Anarchy does not maximise liberty [Russell]
     Full Idea: The greatest degree of liberty is not secured by anarchy. ...[22] The results of anarchy between states should suffice to persuade us that anarchism has no solution to offer for the evils of the world.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: I've heard Russell described as an anarchist, but this clearly wasn't true in 1917. Presumably liberty has to be protected. That we were watching anarchy between states in 1917 is a vivid observation.
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
Groups should be autonomous, with a neutral authority as arbitrator [Russell]
     Full Idea: For maximum freedom with minimum force: Autonomy within each politically important group, and a neutral authority for deciding questions involving relations between groups.
     From: Bertrand Russell (Political Ideals [1917], 3)
     A reaction: This is workplace democracy, and also considerable self-rule amongst minority groups such as religions.
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
Unfortunately ordinary voters can't detect insincerity [Russell]
     Full Idea: It is a painful fact that the ordinary voter, at any rate in England, is quite blind to insincerity.
     From: Bertrand Russell (Political Ideals [1917], 3)
     A reaction: Gor blimey yes! Well said, Bertie. Even in the age of television, when you can examine them in closeup, people seem to confuse superficial charm with genuine positive convictions. Why are people better at detecting it in private life?
On every new question the majority is always wrong at first [Russell]
     Full Idea: It is a mistake to suppose that the majority is necessarily right. On every new question the majority is always wrong at first.
     From: Bertrand Russell (Political Ideals [1917], 3)
     A reaction: Sounds like bitter experience. This is a good argument for taking time over decisions, and (topical) for a second referendum some time after the first one (if you must have a referendum).
24. Political Theory / D. Ideologies / 8. Socialism
When the state is the only employer, there is no refuge from the prejudices of other people [Russell]
     Full Idea: Under state socialism ...where the State is the only employer, there is no refuge from its prejudices such as may now accidentally arise through the differing opinions of men.
     From: Bertrand Russell (Political Ideals [1917], 2)
     A reaction: There is also a strong likelihood in full state socialism that the state will control housing as well as employment. This hadn't come to pass in 1917.
24. Political Theory / D. Ideologies / 11. Capitalism
Men unite in pursuit of material things, and idealise greed as part of group loyalty [Russell]
     Full Idea: Men combine in groups to attain more strength in the scramble for material goods, and loyalty to the group spreads a halo of quasi-idealism round the central impulse of greed.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: See the 'greed is good' speech in the film 'Wall Street'. This sounds like a description of the USA, but Russell was very much in England at this stage.
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
We need security and liberty, and then encouragement of creativity [Russell]
     Full Idea: Security and liberty are only the negative conditions for good political institutions. When they have been won, we need also the positive condition: encouragement of creative energy.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: This sounds like some sort of liberal socialism. The nearest connection I can see is to the 'capabilities approach' of Martha Nussbaum. How do you intervene to encourage creativity?
25. Social Practice / C. Rights / 4. Property rights
The right to own land gives a legal right to a permanent income [Russell]
     Full Idea: There are many ways of becoming rich without contributing anything to the wealth of the community. Ownership of land or capital, whether acquired or inherited, gives a legal right to a permanent income.
     From: Bertrand Russell (Political Ideals [1917], 2)
     A reaction: I suspect that in the past land was the main source of this right, but now it is more likely to be capital. Land carries obligations of some sort, so income from capital is more fun.
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
That our heaven is a dull place reflects the misery of excessive work in life [Russell]
     Full Idea: It is a sad evidence of the weariness mankind has suffered from excessive toil that his heavens have usually been places where nothing ever happened or changed.
     From: Bertrand Russell (Political Ideals [1917], 1)
     A reaction: Has any religion got an idea of heaven as a place full of lively activity and creative problem-solving? That is what suits us best.