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All the ideas for 'Thinking About Mathematics', 'Intellectual Autobiography' and 'Tractatus Theologico-Politicus'

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57 ideas

2. Reason / A. Nature of Reason / 4. Aims of Reason
Without reason and human help, human life is misery [Spinoza]
     Full Idea: Without mutual help and the cultivation of reason, human beings necessarily live in great misery.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 16.05)
     A reaction: A clarion call from a great voice of the Enlightenment. I agree, but in 2017 the rest of western civilization seems to have given up on this ideal. I blame Adorno and Horkheimer.
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
Truthmakers are facts 'of' a domain, not something 'in' the domain [Sommers]
     Full Idea: A fact is an existential characteristic 'of' the domain; it is not something 'in' the domain. To search for truth-making facts in the world is indeed futile.
     From: Fred Sommers (Intellectual Autobiography [2005], 'Existence')
     A reaction: Attacking Austin on truth. Helpful. It is hard to see how a physical object has a mysterious power to 'make' a truth. No energy-transfer seems involved in the making. Animals think true thoughts; I suspect that concerns their mental maps of the world.
4. Formal Logic / A. Syllogistic Logic / 3. Term Logic
'Predicable' terms come in charged pairs, with one the negation of the other [Sommers, by Engelbretsen]
     Full Idea: Sommers took the 'predicable' terms of any language to come in logically charged pairs. Examples might be red/nonred, massive/massless, tied/untied, in the house/not in the house. The idea that terms can be negated was essential for such pairing.
     From: report of Fred Sommers (Intellectual Autobiography [2005]) by George Engelbretsen - Trees, Terms and Truth 2
     A reaction: If, as Rumfitt says, we learn affirmation and negation as a single linguistic operation, this would fit well with it, though Rumfitt doubtless (as a fan of classical logic) prefers to negation sentences.
Logic which maps ordinary reasoning must be transparent, and free of variables [Sommers]
     Full Idea: What would a 'laws of thought' logic that cast light on natural language deductive thinking be like? Such a logic must be variable-free, conforming to normal syntax, and its modes of reasoning must be transparent, to make them virtually instantaneous.
     From: Fred Sommers (Intellectual Autobiography [2005], 'How We')
     A reaction: This is the main motivation for Fred Sommers's creation of modern term logic. Even if you are up to your neck in modern symbolic logic (which I'm not), you have to find this idea appealing. You can't leave it to the psychologists.
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]
     Full Idea: Intuitionists in mathematics deny excluded middle, because it is symptomatic of faith in the transcendent existence of mathematical objects and/or the truth of mathematical statements.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.2)
     A reaction: There are other problems with excluded middle, such as vagueness, but on the whole I, as a card-carrying 'realist', am committed to the law of excluded middle.
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Predicate logic has to spell out that its identity relation '=' is an equivalent relation [Sommers]
     Full Idea: Because predicate logic contrues identities dyadically, its account of inferences involving identity propositions needs laws or axioms of identity, explicitly asserting that the dyadic realtion in 'x=y' possesses symmetry, reflexivity and transitivity.
     From: Fred Sommers (Intellectual Autobiography [2005], 'Syllogistic')
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Translating into quantificational idiom offers no clues as to how ordinary thinkers reason [Sommers]
     Full Idea: Modern predicate logic's methods of justification, which involve translation into an artificial quantificational idiom, offer no clues to how the average person, knowing no logic and adhering to the vernacular, is so logically adept.
     From: Fred Sommers (Intellectual Autobiography [2005], Intro)
     A reaction: Of course, people are very logically adept when the argument is simple (because, I guess, they can test it against the world), but not at all good when the reasoning becomes more complex. We do, though, reason in ordinary natural language.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
Sommers promotes the old idea that negation basically refers to terms [Sommers, by Engelbretsen]
     Full Idea: If there is one idea that is the keystone of the edifice that constitutes Sommers's united philosophy it is that terms are the linguistic entities subject to negation in the most basic sense. It is a very old idea, tending to be rejected in modern times.
     From: report of Fred Sommers (Intellectual Autobiography [2005]) by George Engelbretsen - Trees, Terms and Truth 2
     A reaction: Negation in modern logic is an operator applied to sentences, typically writing '¬Fa', which denies that F is predicated of a, with Fa being an atomic sentence. Do we say 'not(Stan is happy)', or 'not-Stan is happy', or 'Stan is not-happy'? Third one?
5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
Predicates form a hierarchy, from the most general, down to names at the bottom [Sommers]
     Full Idea: We organise our concepts of predicability on a hierarchical tree. At the top are terms like 'interesting', 'exists', 'talked about', which are predicable of anything. At the bottom are names, and in between are predicables of some things and not others.
     From: Fred Sommers (Intellectual Autobiography [2005], 'Category')
     A reaction: The heirarchy seem be arranged simply by the scope of the predicate. 'Tallest' is predicable of anything in principle, but only of a few things in practice. Is 'John Doe' a name? What is 'cosmic' predicable of? Challenging!
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro]
     Full Idea: It is surely wise to identify the positions in the natural numbers structure with their counterparts in the integer, rational, real and complex number structures.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.2)
     A reaction: The point is that this might be denied, since 3, 3/1, 3.00.., and -3*i^2 are all arrived at by different methods of construction. Natural 3 has a predecessor, but real 3 doesn't. I agree, intuitively, with Shapiro. Russell (1919) disagreed.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Cauchy gave a formal definition of a converging sequence. [Shapiro]
     Full Idea: A sequence a1,a2,... of rational numbers is 'Cauchy' if for each rational number ε>0 there is a natural number N such that for all natural numbers m, n, if m>N and n>N then -ε < am - an < ε.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 7.2 n4)
     A reaction: The sequence is 'Cauchy' if N exists.
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Categories are the best foundation for mathematics [Shapiro]
     Full Idea: There is a dedicated contingent who hold that the category of 'categories' is the proper foundation for mathematics.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.3 n7)
     A reaction: He cites Lawvere (1966) and McLarty (1993), the latter presenting the view as a form of structuralism. I would say that the concept of a category will need further explication, and probably reduce to either sets or relations or properties.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers
Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro]
     Full Idea: Zermelo said that for each number n, its successor is the singleton of n, so 3 is {{{null}}}, and 1 is not a member of 3. Von Neumann said each number n is the set of numbers less than n, so 3 is {null,{null},{null,{null}}}, and 1 is a member of 3.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.2)
     A reaction: See Idea 645 - Zermelo could save Plato from the criticisms of Aristotle! These two accounts are cited by opponents of the set-theoretical account of numbers, because it seems impossible to arbitrate between them.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro]
     Full Idea: The structuralist vigorously rejects any sort of ontological independence among the natural numbers; the essence of a natural number is its relations to other natural numbers.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.1)
     A reaction: This seems to place the emphasis on ordinals (what order?) rather than on cardinality (how many?). I am strongly inclined to think that this is the correct view, though you can't really have relations if there is nothing to relate.
A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro]
     Full Idea: A 'system' is a collection of objects with certain relations among them; a 'pattern' or 'structure' is the abstract form of a system, highlighting the interrelationships and ignoring any features they do not affect how they relate to other objects.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.1)
     A reaction: Note that 'ignoring' features is a psychological account of abstraction, which (thanks to Frege and Geach) is supposed to be taboo - but which I suspect is actually indispensable in any proper account of thought and concepts.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro]
     Full Idea: The thesis that principles of arithmetic are derivable from the laws of logic runs against a now common view that logic itself has no ontology. There are no particular logical objects. From this perspective logicism is a non-starter.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 5.1)
     A reaction: This criticism strikes me as utterly devastating. There are two routes to go: prove that logic does have an ontology of objects (what would they be?), or - better - deny that arithmetic contains any 'objects'. Or give up logicism.
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro]
     Full Idea: Term Formalism is the view that mathematics is just about characters or symbols - the systems of numerals and other linguistic forms. ...This will cover integers and rational numbers, but what are real numbers supposed to be, if they lack names?
     From: Stewart Shapiro (Thinking About Mathematics [2000], 6.1.1)
     A reaction: Real numbers (such as pi and root-2) have infinite decimal expansions, so we can start naming those. We could also start giving names like 'Harry' to other reals, though it might take a while. OK, I give up.
Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro]
     Full Idea: Game Formalism likens mathematics to chess, where the 'content' of mathematics is exhausted by the rules of operating with its language. ...This, however, leaves the problem of why the mathematical games are so useful to the sciences.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 6.1.2)
     A reaction: This thought pushes us towards structuralism. It could still be a game, but one we learned from observing nature, which plays its own games. Chess is, after all, modelled on warfare.
Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro]
     Full Idea: The Deductivist version of formalism (sometimes called 'if-thenism') says that the practice of mathematics consists of determining logical consequences of otherwise uninterpreted axioms.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 6.2)
     A reaction: [Hilbert is the source] More plausible than Term or Game Formalism (qv). It still leaves the question of why it seems applicable to nature, and why those particular axioms might be chosen. In some sense, though, it is obviously right.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro]
     Full Idea: Critics commonly complain that the intuitionist restrictions cripple the mathematician. On the other hand, intuitionist mathematics allows for many potentially important distinctions not available in classical mathematics, and is often more subtle.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 7.1)
     A reaction: The main way in which it cripples is its restriction on talk of infinity ('Cantor's heaven'), which was resented by Hilbert. Since high-level infinities are interesting, it would be odd if we were not allowed to discuss them.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism
Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro]
     Full Idea: I classify conceptualists according to what they say about properties or concepts. If someone classified properties as existing independent of language I would classify her as a realist in ontology of mathematics. Or they may be idealists or nominalists.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 2.2.1)
     A reaction: In other words, Shapiro wants to eliminate 'conceptualist' as a useful label in philosophy of mathematics. He's probably right. All thought involves concepts, but that doesn't produce a conceptualist theory of, say, football.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
'Impredicative' definitions refer to the thing being described [Shapiro]
     Full Idea: A definition of a mathematical entity is 'impredicative' if it refers to a collection that contains the defined entity. The definition of 'least upper bound' is impredicative as it refers to upper bounds and characterizes a member of this set.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.2)
     A reaction: The big question is whether mathematics can live with impredicative definitions, or whether they threaten to be viciously circular, and undermine the whole enterprise.
7. Existence / D. Theories of Reality / 2. Realism
Unfortunately for realists, modern logic cannot say that some fact exists [Sommers]
     Full Idea: Unfortunately for the fate of realist philosophy, modern logic's treatment of 'exists' is resolutely inhospitable to facts as referents of phrases of the form 'the existence or non-existence of φ'.
     From: Fred Sommers (Intellectual Autobiography [2005], 'Realism')
     A reaction: Predicate logic has to talk about objects, and then attribute predicates to them. It tends to treat a fact as 'Fa' - this object has this predicate, but that's not really how we understand facts.
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro]
     Full Idea: Rationalism is a long-standing school that can be characterized as an attempt to extend the perceived methodology of mathematics to all of knowledge.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.1)
     A reaction: Sometimes called 'Descartes's Dream', or the 'Enlightenment Project', the dream of proving everything. Within maths, Hilbert's Programme aimed for the same certainty. Idea 22 is the motto for the opposition to this approach.
16. Persons / F. Free Will / 2. Sources of Free Will
People are only free if they are guided entirely by reason [Spinoza]
     Full Idea: The only genuinely free person is one who lives with his entire mind guided solely by reason.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 16.10)
     A reaction: It strikes me as blatantly impossible to be entirely guided by reason. His point is that it is a subservience to reason which is entirely chosen. Why is that different from choosing to be entirely subservient to another person?
19. Language / B. Reference / 1. Reference theories
In standard logic, names are the only way to refer [Sommers]
     Full Idea: In modern predicate logic, definite reference by proper names is the primary and sole form of reference.
     From: Fred Sommers (Intellectual Autobiography [2005], 'Reference')
     A reaction: Hence we have to translate definite descriptions into (logical) names, or else paraphrase them out of existence. The domain only contains 'objects', so only names can uniquely pick them out.
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
Peoples are created by individuals, not by nature, and only distinguished by language and law [Spinoza]
     Full Idea: Nature certainly does not create peoples, individuals do, and individuals are only separated into nations by differences of language, law and morality.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 17.26)
     A reaction: Quite wrong, I think. How did languages evolve if there were not already distinct peoples? Do ants and bees only form into colonies by individual choice? All social contract theories seem to make Spinoza's assumption.
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
In nature everything has an absolute right to do anything it is capable of doing [Spinoza]
     Full Idea: Since the universal power of nature is only the power of all individual things together, it follows that each individual thing has the sovereign right to do everything it can do, or the right of each thing extends as far as its determined power extends.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 16.01)
     A reaction: A typically ruthless Spinoza idea, very different from the rather ill-founded claims of Locke and Rousseau about the state of nature.
Natural rights are determined by desire and power, not by reason [Spinoza]
     Full Idea: Each person's natural right is determined not by sound reason but by desire and power. For it is not the case that all men are naturally determined to behave according to the rules and laws of reason
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 16.03)
     A reaction: Locke would have been horrified by this. It looks like hopeless unfounded optimism to claim a natural right to anything. Doomed prey can struggle all it likes, but its right to do so seems irrelevant. Yet we see self-evident injustice all the time.
24. Political Theory / B. Nature of a State / 1. Purpose of a State
Society exists to extend human awareness [Spinoza, by Watson]
     Full Idea: For Spinoza the purpose of society was the extension of human awareness.
     From: report of Baruch de Spinoza (Tractatus Theologico-Politicus [1670]) by Peter Watson - Ideas Ch.24
     A reaction: I like that. Personally I think human understanding is the best aim our lives can have, but I am inclined to see this in rather individualistic terms (despairing of getting others interested in the project!).
The state aims to allow personal development, so its main purpose is freedom [Spinoza]
     Full Idea: It is the purpose of the state ...to allow people's minds and bodies to develop in their own way in security and enjoy the free use of reason ...Therefore the true purpose of the state is in fact freedom.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 20.06)
     A reaction: The core of Spinoza's political thinking. This strikes me as being as close to communitarianism as to liberalism.
24. Political Theory / B. Nature of a State / 2. State Legitimacy / a. Sovereignty
Sovereignty must include the power to make people submit to it [Spinoza]
     Full Idea: Either there is no sovereignty nor any right over subjects, or else sovereignty must necessarily extend to everything that might be effective in inducing men to submit to it.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 17.02)
     A reaction: In the seventeenth century this usually includes the death penalty. Refusal to submit may be fairly passive and harmless, so the issue must concern duties, rather than rights. Taxes, jury duty, calls to arms.
24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy
Kings tend to fight wars for glory, rather than for peace and liberty [Spinoza]
     Full Idea: As soon as the kings took control [of the Hebrews] the reason for going to war was no longer peace and liberty but rather glory,
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 18.05)
     A reaction: As Spinoza was writing, Louis XIV had just invaded Holland, solely in quest of military glory. As soon as a leader like Napoleon discovers they are good at war, I assume that the thrill of glory takes over for them too.
Monarchs are always proud, and can't back down [Spinoza]
     Full Idea: Monarchical minds are always proud, and cannot back down without feelings of humiliation.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 18.05)
     A reaction: This would seem to be a problem in all politicians. As I teacher I found that backing down was sometimes quite a smart move, but you can only do it occasionally.
Deposing a monarch is dangerous, because the people are used to royal authority [Spinoza]
     Full Idea: It is dangerous to depose a monarch, even if it is clear by every criterion that he is a tyrant. A people accustomed to royal authority and held in check only by it, will despise any lesser authority and hold it in contempt.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 18.07)
     A reaction: He is obviously thinking of Charles I and Cromwell. I suspect that the respect for Cromwell in the 1650s was only as a great soldier. If the people miss royal authority, the correct response is probably 'get over it!'
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
Every state is more frightened of its own citizens than of external enemies [Spinoza]
     Full Idea: People have never succeeded in devising a form of government that was not in greater danger from its own citizens than from foreign foes, and which was not more fearful of the former than of the latter.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 17.04)
     A reaction: The sort of lovely clear-headed and accurate observation for which we love Spinoza. Only very powerful despots can afford to ignore the threat from the people. Stalin was paranoid, but eventually murdered almost everyone who seemed a threat.
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
Democracy is a legitimate gathering of people who do whatever they can do [Spinoza]
     Full Idea: Democracy is properly defined as a united gathering of people which collectively has the sovereign right to do all that it has the power to do.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 16.08)
     A reaction: Representative democracy doesn't fit this definition. What 'unites' the people, and where do they get their sovereign right? If my neighbouring village votes to invade mine, I spurn their pathetic 'sovereign right'.
24. Political Theory / D. Ideologies / 10. Theocracy
If religion is law, then piety is justice, impiety is crime, and non-believers must leave [Spinoza]
     Full Idea: [In the first Hebrew state] religious dogmas were not doctrines but rather laws and decrees, piety being regarded as justice and impiety as crime. Anyone who defected from this religion ceased to be a citizen.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 17.08)
     A reaction: Presumably speeding offences count as impiety, and failing to pray is a crime. A critical question will be how far religious doubts must extend before one actually has to leave. Mere doctrinal differences, or full atheism?
Allowing religious ministers any control of the state is bad for both parties [Spinoza]
     Full Idea: How pernicious it is both for religion and the state to allow ministers of things sacred to acquire the right to make decrees or handle the business of government.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 18.06 (1))
     A reaction: Interesting that he holds it to be bad for the religion as well as the state. In Britain we have bishops in the House of Lords.
25. Social Practice / A. Freedoms / 1. Slavery
Slavery is not just obedience, but acting only in the interests of the master [Spinoza]
     Full Idea: It is not acting on command in itself that makes someone a slave, but rather the reason for so acting. ...A slave is someone obliged to obey commands from a master which look only to the advantage of the master.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 16.10)
     A reaction: So if I forcibly enslaved you, and then only commanded things which were for your own good, that would not be slavery? If the master feeds the slave, is that not part of the slavery? Most jobs might count as slavery by this account?
25. Social Practice / A. Freedoms / 2. Freedom of belief
Government is oppressive if opinions can be crimes, because people can't give them up [Spinoza]
     Full Idea: Government is bound to become extremely oppressive where dissident opinions which are within the domain of each individual, a right which no one can give up, are treated as a crime.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 18.06 (2))
     A reaction: One might compare illicit desires, such as those of a paedophile, where it is a crime to act on them, but presumably they cannot be given up, so there is no point in legislating against the mere desires.
Without liberty of thought there is no trust in the state, and corruption follows [Spinoza]
     Full Idea: If liberty of thought is suppressed ...this would undemine the trust which is the first essential of a state; detestable flattery and deceit would flourish, giving rise to intrigues and every sort of honest behaviour.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 20.11)
     A reaction: Spinoza specifically defends philosophy, as the epitome of freedom of thought.
25. Social Practice / A. Freedoms / 3. Free speech
Treason may be committed as much by words as by deeds [Spinoza]
     Full Idea: We cannot altogether deny that treason may be committed as much by words as by deeds.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 20.05)
     A reaction: For example, betraying a major state secret. This is an important idea, for anyone who simplistically demands utter freedom of speech. There is also subversive speech, which is very hard to assess. Incitements can be crimes in Britain.
25. Social Practice / A. Freedoms / 6. Political freedom
The freest state is a rational one, where people can submit themselves to reason [Spinoza]
     Full Idea: The freest state is that whose laws are founded on sound reason; for there each man can be free whenever he wishes, that is, he can live under the guidance of reason with his whole mind.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 16.10)
     A reaction: I wonder if is not so much that the state is rational as that it is right. Freedom is submission to the truth. Rationality is only good because it arrives at truth. But is there a 'truth' about how a state should be run? Enlightenment optimism.
25. Social Practice / C. Rights / 1. Basis of Rights
Spinoza wanted democracy based on individual rights, and is thus the first modern political philosopher [Stewart,M on Spinoza]
     Full Idea: Spinoza's advocacy of democracy on the basis of individual rights was extraordinarily bold for its time, and it qualifies him as the first truly modern political philosopher.
     From: comment on Baruch de Spinoza (Tractatus Theologico-Politicus [1670]) by Matthew Stewart - The Courtier and the Heretic Ch. 6
     A reaction: Sounds right. Hobbes may have been the 'first modern man', but his politics was fairly medieval. John Lilburne and co. may have campaigned for rights and democracy, but they weren't really philosophers.
The sovereignty has absolute power over citizens [Spinoza]
     Full Idea: No offence can be committed against subjects by sovereigns, since they are of right permitted to do all things., and therefore offences occur only between private persons obliged by law not to harm one another.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 16.14)
     A reaction: This slightly alarming remark is the consequence of Spinoza's denial of natural rights. Nowadays we have international law to appeal to. Locke thinks revolution could be justified, but this implies the Spinoza does not?
25. Social Practice / C. Rights / 3. Alienating rights
Forming a society meant following reason, and giving up dangerous appetites and mutual harm [Spinoza]
     Full Idea: People had to make a firm decision to decide everything by the sole dictates of reason (which no one dares contradict openly). They had to curb their appetites if it would hurt someone else, and not do to others what they did not want done to themselves.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 16.05)
     A reaction: The last bit invokes the Golden Rule. Being in society does indeed meaning curbing appetites, such as envy and lust.
People only give up their rights, and keep promises, if they hope for some greater good [Spinoza]
     Full Idea: No one will give up his right to all things, and absolutely no one will keep his promises, except from fear of a greater ill or hope of a greater good.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 16.06)
     A reaction: I think Locke and Rousseau would agree with this. It is hard to imagine doing anything other than in hope of a greater good. But what to do when your hopes are disappointed?
Once you have given up your rights, there is no going back [Spinoza]
     Full Idea: If people had wanted to keep any right for themselves, they should have made this provision at the same time as they could have safely defended it.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 16.08)
     A reaction: Spinoza is wonderful for grasping nettles. The other fans of social contracts seem blithely cheerful about how it is going to work out. But forming a society is like marriage - a risky commitment which could go horribly wrong.
In democracy we don't abandon our rights, but transfer them to the majority of us [Spinoza]
     Full Idea: In a democracy no one transfers their natural right to another in such a way that they are not thereafter consulted, but rather to the majority of the whole society of which they are part.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 16.11)
     A reaction: At this time democracy means Athenian direct democracy. In representative democracy you are only consulted once every few years, and in between the government can ignore the people (as Rousseau pointed out).
No one, in giving up their power and right, ceases to be a human being [Spinoza]
     Full Idea: No one will ever be able to transfer his power and (consequently) his right to another person in such a way that he ceases to be a human being.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 17.01)
     A reaction: Spinoza disdains natural rights, but this is a modest (and pretty uncontroversial) concession.
Everyone who gives up their rights must fear the recipients of them [Spinoza]
     Full Idea: People have never given up their right and transferred their power to another in such a way that they did not fear the very persons who received their right and power, and put the government at greater risk from its own citizens than from its enemies.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 17.01)
     A reaction: I take this idea to be Rousseau's key motivation for the idea of the general will, because you are there supposed to be alienating your natural rights to yourself (sort of). In a democracy you alienate them partly to yourself.
The early Hebrews, following Moses, gave up their rights to God alone [Spinoza]
     Full Idea: The Hebrews being in this natural state, they resolved, on the advice of Moses in whom they all had the greatest trust, to transfer their right to no mortal man but rather to God alone.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 17.07)
     A reaction: [He cites Exodus 24:7] He calls this the first Hebrew state, which seems to have depended heavily on Moses. Priests and prophets become crucial in this situation, and they may be in conflict about God's commands.
25. Social Practice / D. Justice / 2. The Law / c. Natural law
The order of nature does not prohibit anything, and allows whatever appetite produces [Spinoza]
     Full Idea: The order of nature, under which all human beings are born and for the most part live, prohibits nothing but what no one desires or no one can do; it does not prohibit strife or hatred or anger or anything at all that appetite foments.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 16.04)
     A reaction: This is as vigorous a rejection of natural law as I have met with. It is hard to see on what grounds anyone could disagree, other than hopeful sentiment.
25. Social Practice / E. Policies / 2. Religion in Society
State and religious law can clash, so the state must make decisions about religion [Spinoza]
     Full Idea: No one would be obliged by law if he considered it against his faith, and everyone could claim licence to do anything. Since the law of the state would then be wholly violated, it follows that the right of deciding about religion belongs to the sovereign.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 16.21)
     A reaction: This is an era when British puritans emigrate to America, because the state is not sufficiently tolerant. The needs of sovereignty and of religion can be very far apart. You can see those with great religious devotion not liking this idea.
29. Religion / B. Monotheistic Religion / 2. Judaism
Hebrews were very hostile to other states, who had not given up their rights to God [Spinoza]
     Full Idea: Having transferred their right to God, the Hebrews believed their kingdom was the kingdom of God, that they alone were the children of God, and that other nations were enemies of God, whom for that reason they regarded with extreme hostility.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670], 17.23)
     A reaction: [He cites Psalm 139:21-2] So, according to Spinoza, they did not become the chosen people because they thought God had chosen then, but because they were the only state trying to align itself with God.
29. Religion / B. Monotheistic Religion / 5. Bible
The Bible has nothing in common with reasoning and philosophy [Spinoza]
     Full Idea: The Bible leaves reason absolutely free and has nothing in common with philosophy.
     From: Baruch de Spinoza (Tractatus Theologico-Politicus [1670])
     A reaction: Hm. The Bible may not contain reasoning, but it contains the fruits of reasoning, and it is obviously possible for reasoning to contradict its message.