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Single Idea 6797

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

Full Idea

In tossing a coin, the objective probability of tails is a measure of the bias of the coin; the bias and the probability are objective features of the coin, like its mass and shape; these properties have nothing to do with our beliefs about the coin.

Gist of Idea

Objective probability of tails measures the bias of the coin, not our beliefs about it

Source

Alexander Bird (Philosophy of Science [1998], Ch.6)

Book Ref

Bird,Alexander: 'Philosophy of Science' [UCL Press 2000], p.190


A Reaction

Despite my reservation that God would not seem to be very interested in the probabilities of coin-tossing, since he knows each outcome with certaintly, this is fairly convincing. God might say that the coin has a 'three-to-two bias'.


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]