Relation to truth· Truth, language and science
Proof by experience
Axis: Scientific method — How does science go about justifying its claims?
Experience has the power to prove: a well-conducted observation, a rigorous experiment can establish a law or confirm a hypothesis. It is by accumulating positive evidence that science gains in certainty; experience is not merely a source of ideas, it is the tribunal that validates them.
Movements 2
Empiricismexplicit
Since nothing is in the mind that was not first in the senses, the method can only be regressive then ascending: one starts from the observable given and rises to general laws by induction, never the reverse. Bacon erects this march into a rule, denouncing the hasty anticipation that imposes a priori principles on nature, and sets against it methodical induction, conducted through tables of absence and presence. This is the overturning of the rationalist model, which deduced the world from self-evident first truths: here axioms do not precede experience, they are its revisable outcome.
Locke, Essay; Hume, Enquiry; Bacon, Novum Organum
The Enlightenmentexplicit
Hostile to a priori systems and gratuitous hypotheses, the Enlightenment makes observation and experiment the source of all physics: one rises from facts to laws by , in the manner of , whom the Encyclopédie claims as its patron. nonetheless radicalizes this programme by showing that induction itself is grounded not in reason but in habit. In parallel, the calculus of probabilities of Laplace and opens a quantitative path to uncertainty.
Bacon, Novum Organum · Condorcet, Essay on the Application of Analysis to the Probability of Majority Decisions
Philosophers 3
Baconexplicit
The syllogism, Bacon objects, only links notions already received: it discovers nothing, it merely dresses up prejudice. To this logic of anticipations of nature he opposes a logic of interpretation: not to fly like the bee from experience alone, nor to spin like the spider from reason alone, but to climb step by step from facts to laws. His is therefore not the bare enumeration that generalizes from a few agreeing cases; it is an eliminative induction, drawing up tables of presence, absence, and degrees so as to rule out false causes methodically and isolate the form of the phenomenon. Science sets out from no preconceived system: it is built from the bottom up, by exclusion.
Novum Organum, I (aphorisms 19, 95, 105) · Novum Organum, II (tables and exclusion)
Millexplicit
The System of Logic codifies induction: it is the experimental methods (agreement, difference) that, from the observation of regularities, establish the laws of nature. Scientific knowledge is built from the particular toward the general.
A System of Logic, Book III
Show inferred positions (1)
Charles Sanders Peirceinferable
None of the three poles captures Peirce exactly, for he added precisely the missing piece: , the inference that invents the hypothesis, upstream of the deduction that draws out its consequences and the that tests them. Science for him is this complete cycle, not one of its moments. He is nonetheless ranged on the inductivist side, since he remains an experimenter who grounds everything on the test of facts and makes induction the decisive trial; but he claims to defuse the flaw denounced by holding that repeated induction corrects itself in the long run. His training as a statistician also gives him a probabilist strand, attentive to frequencies and to error, that foreshadows Bayesianism without reducing to it. What makes science is not a single rule of inference but the long-run self-correction of a accountable to the real.
The Fixation of Belief (1877) · Collected Papers, V, 180-212 (on abduction)
Tables of presence and absenceExerciseAttested · Bacon
To discover what really causes an effect, suggests not trusting your first hunch but drawing up three lists: cases where the effect is present, similar cases where it is absent, and cases where it varies by degree. The likely cause is what tracks the effect across the three tables. This is the concrete form of his , and a simple way today to look for the cause of a symptom, a breakdown or a success instead of guessing it.
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- Descriptive Thought experimentThe black swan
No number of white swans proves that all are white, but a single black swan is enough to belie it: how, then, does one establish a general law, by piling up cases, by hunting the counter-example, or by weighing the probabilities?
a universal law - DescriptiveWhat can evidence do?
No accumulation of evidence proves a universal law; a single counter-example, on the other hand, seems enough to refute it: evidence would then count only by its power to belie, never to establish. But does it even truly refute? When a result contradicts a theory, it is never that theory alone that is at stake, but a whole bundle of auxiliary hypotheses, and one can always sacrifice one of them to save it. Prove, refute, or only make more or less probable: what, exactly, can evidence do?
a piece of evidence, a test - DescriptiveMeasurement and its instruments
An instrument does not record a bare fact: a thermometer presupposes a whole theory of heat, an apparatus assumes hypotheses about what it captures, and every calibration rests on other measurements, themselves fallible. The precision it displays may thus silently carry forward debatable theories, and exactness become a pretension rather than a fact. How far does a measurement establish the real, rather than already giving it form?
the measuring instrument - DescriptiveAre there bare facts?
Science is supposed to start from the facts, neutral and given. But do we ever observe a pure fact? What we notice, what we take for a result, already depends on our expectations, our instruments, and the theory we have in mind: two scientists before the same sky do not see the same thing there. If observation is always oriented, what does science take its support from?
observation - DescriptiveWhat confirms a hypothesis?
"All ravens are black" is equivalent to "everything non-black is a non-raven", which a green apple would then confirm, without one's having seen a single raven. And the same past observations equally support incompatible predictions. What, exactly, does a piece of evidence confirm, and by how much?
the link between evidence and hypothesis - DescriptiveIs there a method at all?
What if there were no universal rule of sound scientific reasoning? Feyerabend argues that the great discoveries often broke the canons of method, and that in science "anything goes": the logic reconstructed after the fact is not what actually advances knowledge.
the methodological rule itself