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Single Idea 7448

[filed under theme 10. Modality / B. Possibility / 6. Probability ]

Full Idea

Probability has two aspects: the degree of belief warranted by evidence, and the tendency displayed by some chance device to produce stable relative frequencies. These are the epistemological and statistical aspects of the subject.

Gist of Idea

Probability is statistical (behaviour of chance devices) or epistemological (belief based on evidence)

Source

Ian Hacking (The Emergence of Probability [1975], Ch.1)

Book Ref

Hacking,Ian: 'The Emergence of Probability' [CUP 1975], p.1


A Reaction

The most basic distinction in the subject. Later (p.124) he suggests that the statistical form (known as 'aleatory' probability) is de re, and the other is de dicto.


The 15 ideas with the same theme [asserting the degree of likelihood of a fact]:

We transfer the frequency of past observations to our future predictions [Hume]
Probability can be constrained by axioms, but that leaves open its truth nature [Davidson]
The Gambler's Fallacy (ten blacks, so red is due) overemphasises the early part of a sequence [Harman]
High probability premises need not imply high probability conclusions [Harman]
Probability is statistical (behaviour of chance devices) or epistemological (belief based on evidence) [Hacking]
Probability was fully explained between 1654 and 1812 [Hacking]
Epistemological probability based either on logical implications or coherent judgments [Hacking]
A thing works like formal probability if all the options sum to 100% [Edgington]
Conclusion improbability can't exceed summed premise improbability in valid arguments [Edgington]
Truth-functional possibilities include the irrelevant, which is a mistake [Edgington]
Subjective probability measures personal beliefs; objective probability measures the chance of an event happening [Bird]
Objective probability of tails measures the bias of the coin, not our beliefs about it [Bird]
Quantum mechanics seems to imply single-case probabilities [Ladyman/Ross]
In quantum statistics, two separate classical states of affairs are treated as one [Ladyman/Ross]
Everything has a probability, something will happen, and probabilities add up [PG]