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Deduction, Induction and Probabilistic Support

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Deduction, Induction and Probabilistic Support. / Cussens, James.

In: Synthese, Vol. 108, No. 1, 01.07.1996, p. 1-10.

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Harvard

Cussens, J 1996, 'Deduction, Induction and Probabilistic Support', Synthese, vol. 108, no. 1, pp. 1-10. https://doi.org/10.1007/BF00414003

APA

Cussens, J. (1996). Deduction, Induction and Probabilistic Support. Synthese, 108(1), 1-10. https://doi.org/10.1007/BF00414003

Vancouver

Cussens J. Deduction, Induction and Probabilistic Support. Synthese. 1996 Jul 1;108(1):1-10. https://doi.org/10.1007/BF00414003

Author

Cussens, James. / Deduction, Induction and Probabilistic Support. In: Synthese. 1996 ; Vol. 108, No. 1. pp. 1-10.

Bibtex - Download

@article{f6c0fbd36de84e09a7a3e09198b688df,
title = "Deduction, Induction and Probabilistic Support",
abstract = "Elementary results concerning the connections between deductive relations and probabilistic support are given. These are used to show that Popper-Miller's result is a special case of a more general result, and that their result is not ``very unexpected'' as claimed. According to Popper-Miller, a purely inductively supports b only if they are ``deductively independent''---but this means that $neg a vdash b$. Hence, it is argued that viewing induction as occurring only in the absence of deductive relations, as Popper-Miller sometimes do, is untenable. Finally, it is shown that Popper-Miller's claim that deductive relations determine probabilistic support is untrue. In general, probabilistic support can vary greatly with fixed deductive relations as determined by the relevant Lindenbaum algebra.",
author = "James Cussens",
year = "1996",
month = jul,
day = "1",
doi = "10.1007/BF00414003",
language = "English",
volume = "108",
pages = "1--10",
journal = "Synthese",
issn = "0023-7857",
publisher = "Springer Netherlands",
number = "1",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Deduction, Induction and Probabilistic Support

AU - Cussens, James

PY - 1996/7/1

Y1 - 1996/7/1

N2 - Elementary results concerning the connections between deductive relations and probabilistic support are given. These are used to show that Popper-Miller's result is a special case of a more general result, and that their result is not ``very unexpected'' as claimed. According to Popper-Miller, a purely inductively supports b only if they are ``deductively independent''---but this means that $neg a vdash b$. Hence, it is argued that viewing induction as occurring only in the absence of deductive relations, as Popper-Miller sometimes do, is untenable. Finally, it is shown that Popper-Miller's claim that deductive relations determine probabilistic support is untrue. In general, probabilistic support can vary greatly with fixed deductive relations as determined by the relevant Lindenbaum algebra.

AB - Elementary results concerning the connections between deductive relations and probabilistic support are given. These are used to show that Popper-Miller's result is a special case of a more general result, and that their result is not ``very unexpected'' as claimed. According to Popper-Miller, a purely inductively supports b only if they are ``deductively independent''---but this means that $neg a vdash b$. Hence, it is argued that viewing induction as occurring only in the absence of deductive relations, as Popper-Miller sometimes do, is untenable. Finally, it is shown that Popper-Miller's claim that deductive relations determine probabilistic support is untrue. In general, probabilistic support can vary greatly with fixed deductive relations as determined by the relevant Lindenbaum algebra.

U2 - 10.1007/BF00414003

DO - 10.1007/BF00414003

M3 - Article

VL - 108

SP - 1

EP - 10

JO - Synthese

JF - Synthese

SN - 0023-7857

IS - 1

ER -