OR,

AN ESSAY

ON

THE ELEMENTS, PRINCIPLES,

AND DIFFERENT

MODES OF REASONING.

BY

RICHARD KIRWAN, ESQ. LL.D.
P.R.I.A. F.R.S. &c. &c.

VOLUME II.

LONDON:

PRINTED FOR PAYNE AND MACKINLAY IN THE STRAND.

1807.

31197

Printed by T. Bensley,

Bolt Court, Fleet Street, London.

27

кые
1807

CONTENTS TO VOL. II.

CHAP. VII.

Of the Application of Calculation to Probability.

Sect. 10. Of teftimony applied to neutral facts - p. 305

320

324

16. Of Dr. Halley's estimation of concordant

testimony

17. Of variant original testimony

18. Of inconfiftent original testimonies

Mr. Hume's method of calculating the pro-

bability refulting from difcordant testi-

mony

332

Sect. 19. Of transmitted or fucceffive testimony

20. Of written testimony

21. Of the propriety of estimating credibility by

333

-

339

Sect. 1. Of axioms, maxims, and aphorifms

356

Sect. 1. Unauthorised fuppofitions of particular inter-

pofitions of Divine Providence

2. That crimes may be excufed or extenuated by

a fuppofed ignorance of the first principles

of the moral law, or the general prevalence

of false principles oppofite thereto, in any

age or country

3. That a variety of opinions on any subject, is

a fufficient proof of the uncertainty or falfe-

hood of all of them

407

411

431

Sect. 4. That fovereigns are obliged to maintain by

force the religious opinions established in

Sect. 1. Arguments mifapplied

2. Arguments erroneously stated

439

440

3. Arguments erroneous from a defective enu-

meration, or an unlimited generalization 445

4. Tranfition from one order of things to ano-

ther

448

5. Mistaken inferences from the collective to the

distributive sense, or from the distributive

-

Sect. 1. Of fyllogifms, their principles and rules

2. Of vicious or irregular fyllogifins

3. General confequences refulting from the fyl-

logistic form

467

479

482