23 ideas
12104 | All ideas must be understood historically [Comte] |
Full Idea: No idea can be properly understood apart from its history. | |
From: Auguste Comte (Intro to Positive Philosophy [1830], Ch.1) | |
A reaction: This is somewhat dubious. Comte is preparing the ground for asserting positivism by rejecting out-of-date theology and metaphysics. The history is revealing, but can be misleading, when a meaning shifts. Try 'object' in logic. |
12105 | Our knowledge starts in theology, passes through metaphysics, and ends in positivism [Comte] |
Full Idea: Our principal conceptions, each branch of our knowledge, passes in succession through three different theoretical states: the theological or fictitious state, the metaphysical or abstract state, and the scientific or positive state. | |
From: Auguste Comte (Intro to Positive Philosophy [1830], Ch.1) | |
A reaction: See Idea 5077 for the abstraction step. The idea that there is a 'law' here, as Comte thinks, is daft, but something of what he describes is undeniable. I suspect, though, that science rests on abstractions, so the last part is wrong. |
9291 | The dating, in 1614, of the Hermetic writings as post-Christian is the end of the Renaissance [Yates] |
Full Idea: The dating by Isaac Casaubon in 1614 of the Hermetic writings as not the work of a very ancient Egyptian priest but written in post-Christian times, is a watershed separating the Renaissance world from the modern world. | |
From: Frances A. Yates (Giordano Bruno and Hermetic Tradition [1964], Ch.21) | |
A reaction: I tend to place the end of the Renaissance with the arrival of the telescope in 1610, so the two dates coincide. Simply, magic was replaced by science. Religion ran alongside, gasping for breath. Mathematics was freed from numerology. |
9288 | The magic of Asclepius enters Renaissance thought mixed into Ficino's neo-platonism [Yates] |
Full Idea: The magic of Asclepius, reinterpreted through Plotinus, enters with Ficino's De Vita into the neo-platonic philosophy of the Renaissance, and, moreover, into Ficino's Christian Platonism. | |
From: Frances A. Yates (Giordano Bruno and Hermetic Tradition [1964], Ch.4) | |
A reaction: Asclepius is the source of 'Hermetic' philosophy. This move seems to be what gives the Renaissance period its rather quirky and distinctive character. Montaigne was not a typical figure. Most of them wanted to become gods and control the stars! |
12112 | Metaphysics is just the oversubtle qualification of abstract names for phenomena [Comte] |
Full Idea: The development of positivism was caused by the concept of metaphysical agents gradually becoming so empty through oversubtle qualification that all right-minded persons considered them to be only the abstract names of the phenomena in question. | |
From: Auguste Comte (Intro to Positive Philosophy [1830], Ch.1) | |
A reaction: I have quite a lot of sympathy with this thesis, but not couched in this negative way. I take abstraction to be essential to scientific thought, and wisdom to occur amongst the higher reaches of the abstractions. |
12106 | Positivism gives up absolute truth, and seeks phenomenal laws, by reason and observation [Comte] |
Full Idea: In the positive state, the human mind, recognizing the impossibility of obtaining absolute truth, gives up the search for hidden and final causes. It endeavours to discover, by well-combined reasoning and observation, the actual laws of phenomena. | |
From: Auguste Comte (Intro to Positive Philosophy [1830], Ch.1) | |
A reaction: [compressed] Positivism attempted to turn the Humean regularity view of laws into a semi-religion. It is striking how pessimistic Comte was (as was Hume) about the chances of science revealing deep explanations. He would be astoundeds. |
7491 | The phases of human thought are theological, then metaphysical, then positivist [Comte, by Watson] |
Full Idea: The first phase of humanity was theological, attributing phenomena to a deity, the second metaphysical stage attributed them to abstract forms, the third positive stage abandons ultimate causes and just searches for regularities. | |
From: report of Auguste Comte (Course of Positive Philosophy [1846]) by Peter Watson - Ideas Ch.32 | |
A reaction: This is obviously a highly empirical programme, which reasserts Hume's view of the laws of nature. Effectively, positivism just is the rejection of metaphysics. |
12111 | Positivism is the final state of human intelligence [Comte] |
Full Idea: The positive philosophy represents the true final state of human intelligence. | |
From: Auguste Comte (Intro to Positive Philosophy [1830], Ch.1) | |
A reaction: This is the sort of remark which made Comte notorious, and it looks a bit extravagant now, but the debate about his view is still ongoing. I am certainly sympathetic to his general drift. |
12114 | Science can drown in detail, so we need broad scientists (to keep out the metaphysicians) [Comte] |
Full Idea: Getting lost in a mass of detail is the weak side of positivism, where partisans of theology and metaphysics may attack with some hope of success. ...We must train scientists who will consider all the different branches of positive science. | |
From: Auguste Comte (Intro to Positive Philosophy [1830], Ch.1) | |
A reaction: This would be Comte's answer now to those who claim there is still a role for metaphysics within the scientific world view. I would say that metaphysics not only takes an overview, but also deals with higher generalisations than Comte's general scientist. |
12116 | Only positivist philosophy can terminate modern social crises [Comte] |
Full Idea: We may look upon the positive philosophy as constituting the only solid basis for the social reorganisation that must terminate the crisis in which the most civilized nations have found themselves for so long. | |
From: Auguste Comte (Intro to Positive Philosophy [1830], Ch.1) | |
A reaction: He is proposing not only to use positivist methods to solve social problems (he coined the word 'sociology'), but is also proposing that positivism itself should act as the unifying belief-system for future society. Science will be our religion. |
15375 | If terms change their designations in different states, they are functions from states to objects [Fitting] |
Full Idea: The common feature of every designating term is that designation may change from state to state - thus it can be formalized by a function from states to objects. | |
From: Melvin Fitting (Intensional Logic [2007], 3) | |
A reaction: Specifying the objects sounds OK, but specifying states sounds rather tough. |
15376 | Intensional logic adds a second type of quantification, over intensional objects, or individual concepts [Fitting] |
Full Idea: To first order modal logic (with quantification over objects) we can add a second kind of quantification, over intensions. An intensional object, or individual concept, will be modelled by a function from states to objects. | |
From: Melvin Fitting (Intensional Logic [2007], 3.3) |
15378 | Awareness logic adds the restriction of an awareness function to epistemic logic [Fitting] |
Full Idea: Awareness logic enriched Hintikka's epistemic models with an awareness function, mapping each state to the set of formulas we are aware of at that state. This reflects some bound on the resources we can bring to bear. | |
From: Melvin Fitting (Intensional Logic [2007], 3.6.1) | |
A reaction: [He cites Fagin and Halpern 1988 for this] |
15379 | Justication logics make explicit the reasons for mathematical truth in proofs [Fitting] |
Full Idea: In justification logics, the logics of knowledge are extended by making reasons explicit. A logic of proof terms was created, with a semantics. In this, mathematical truths are known for explicit reasons, and these provide a measure of complexity. | |
From: Melvin Fitting (Intensional Logic [2007], 3.6.1) |
11026 | Classical logic is deliberately extensional, in order to model mathematics [Fitting] |
Full Idea: Mathematics is typically extensional throughout (we write 3+2=2+3 despite the two terms having different meanings). ..Classical first-order logic is extensional by design since it primarily evolved to model the reasoning of mathematics. | |
From: Melvin Fitting (Intensional Logic [2007], §1) |
11028 | λ-abstraction disambiguates the scope of modal operators [Fitting] |
Full Idea: λ-abstraction can be used to abstract and disambiguate a predicate. De re is [λx◊P(x)](f) - f has the possible-P property - and de dicto is ◊[λxP(x)](f) - possibly f has the P-property. Also applies to □. | |
From: Melvin Fitting (Intensional Logic [2007], §3.3) | |
A reaction: Compare the Barcan formula. Originated with Church in the 1930s, and Carnap 1947, but revived by Stalnaker and Thomason 1968. Because it refers to the predicate, it has a role in intensional versions of logic, especially modal logic. |
15377 | Definite descriptions pick out different objects in different possible worlds [Fitting] |
Full Idea: Definite descriptions pick out different objects in different possible worlds quite naturally. | |
From: Melvin Fitting (Intensional Logic [2007], 3.4) | |
A reaction: A definite description can pick out the same object in another possible world, or a very similar one, or an object which has almost nothing in common with the others. |
12108 | All real knowledge rests on observed facts [Comte] |
Full Idea: All competent thinkers agree with Bacon that there can be no real knowledge except that which rests upon observed facts. | |
From: Auguste Comte (Intro to Positive Philosophy [1830], Ch.1) | |
A reaction: Are there any unobservable facts? If so, can we know them? The only plausible route is to add 'best explanation' to the positivist armoury. With positivism, empiricism became - for a while - a quasi-religion. |
12109 | We must observe in order to form theories, but connected observations need prior theories [Comte] |
Full Idea: There is a difficulty: the human mind had to observe in order to form real theories; and yet it had to form theories of some sort before it could apply itself to a connected series of observations. | |
From: Auguste Comte (Intro to Positive Philosophy [1830], Ch.1) | |
A reaction: Comte's view is that we get started by forming a silly theory (religion), and then refine the theory once the observations get going. Note that Comte has sort of anticipated the Quine-Duhem thesis. |
12107 | Positivism explains facts by connecting particular phenomena with general facts [Comte] |
Full Idea: In positivism the explanation of facts consists only in the connection established between different particular phenomena and some general facts, the number of which the progress of science tends more and more to diminish. | |
From: Auguste Comte (Intro to Positive Philosophy [1830], Ch.1) | |
A reaction: This seems to be the ancestor of Hempel's more precisely formulated 'covering law' account, which became very fashionably, and now seems fairly discredited. It is just a fancy version of Humeanism about laws. |
12115 | Introspection is pure illusion; we can obviously observe everything except ourselves [Comte] |
Full Idea: The pretended direct contemplation of the mind by itself is a pure illusion. ...It is clear that, by an inevitable necessity, the human mind can observe all phenomena directly, except its own. | |
From: Auguste Comte (Intro to Positive Philosophy [1830], Ch.1) | |
A reaction: I recently heard of a university psychology department which was seeking skilled introspectors to help with their researches. I take introspection to be very difficult, but partially possible. Read Proust. |
12113 | The search for first or final causes is futile [Comte] |
Full Idea: We regard the search after what are called causes, whether first or final, as absolutely inaccessible and unmeaning. | |
From: Auguste Comte (Intro to Positive Philosophy [1830], Ch.1) | |
A reaction: This remark lies behind Russell's rejection of the notion of cause in scientific thinking. Personally it seems to me indispensable, even if we accept that the pursuit of 'final' causes is fairly hopeless. We don't know where the quest will lead. |
12110 | We can never know origins, purposes or inner natures [Comte] |
Full Idea: The inner nature of objects, or the origin and purpose of all phenomena, are the most insoluble questions. | |
From: Auguste Comte (Intro to Positive Philosophy [1830], Ch.1) | |
A reaction: I take it that this Humean pessimism about science ever penetrating below the surface is precisely what is challenged by modern science, and that 'scientific essentialism' is catching up with what has happened. 'Inner' is knowable, bottom level isn't. |