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5. It is remarked by Venn that the interpretation of propositions as denying the existence of certain combinations is almost necessarily forced on us by the study of Symbolic Logic. Show how this is so, and also the effect of this interpretation on different kinds of propositions recognised by the traditional Logic.

6. On what principle may fractional forms be developed? Explain the significance

(1) of 22, and (2) of xy + xy + xy

xy + xy + xy

7. Mention various ways in which an implicit equation may be analysed into its elementary denials,

Illustrate by xz + xy = xz + YZ.

8. Every member of the X Society is either a wealthy landholder, or, if not wealthy, a farmer.

The members of the X Society consist of wealthy men who farm their own land, and possibly of others who are neither wealthy nor farmers.

How would you deal symbolically with the above statements? Can they be combined in any way? Can anything be asserted of landowning members of the Society, or again of non-landowning members? Explain the principle on which you proceed.

INDUCTIVE LOGIC.

PAPER No. 2.

The Board of Examiners.

1. Does the question whether all the objects of human knowledge may be resolved into states of consciousness and their possibilities properly fall within the scope of Inductive Logic? Give your reasons for including or excluding it.

2. State, with any comments, Venn's exposition of successive stages in the modern treatment of Causation.

3. Consider critically the principal classes of Coexistence, as given by Venn.

4. Mention various distinctions which have been attempted between Nominal and Real Definition. How is it that inquiries into definitions frequently involve inquiries into the nature of things? Should the rules for correct definition extend to the latter class of inquiries?

5. Discuss Venn's account of the three stages required in a complete process of inductive discovery.

6. Is it a petitio principii to give a major premiss as a reason for a conclusion which falls under it? Justify your answer.

7. Explain the nature and value of the Method of Agreement, as treated by Venn.

8. Point out various ways in which our scientific reasonings are complicated by the fact that human beings are active as well as speculative.

MENTAL PHILOSOPHY.-(2nd Year.)

PAPER No. 2.

The Board of Examiners.

1. By what train of thought was Descartes led to his initial doubt? How did he distinguish this from the doubt of scepticism?

2. What, in the philosophy of Spinoza, is the relation between the order and connection of ideas, and the order and connection of things? Trace his thought here to any prior source or sources.

3. Show the importance of the distinction between. primary and secondary qualities in Locke's doctrine of Perception.

4. Examine the arguments by which Berkeley sought to rid himself of the distinction between primary and secondary qualities.

5. "The connection of ideas does not imply the relation of cause and effect, but with the thing signified."

position here.

only that of a sign Explain Berkeley's

6. On what grounds was it held by Berkeley that God is known to us as certainly and immediately as any other mind distinct from ourselves?

7. Compare the treatment of self, by Berkeley and Hume respectively.

8. Compare the method of Kant's critical philosophy with that of the preceding empiricism.

NATURAL PHILOSOPHY.-PART I.
SECOND PAPER.

The Board of Examiners.

1. Define the terms angular velocity, angular acceleration, torque, rotation inertia (moment of inertia). Prove that the kinetic energy of a body rotating round a fixed axis is w2 where I rotation inertia angular velocity.

Hence establish the equation of the rotation of a body round a fixed axis that corresponds to the equation mv2Fs for rectilinear motion.

2. The crown of Hiero, an equal weight of gold, and an equal weight of silver were all weighed in water. The crown was found to lose, the gold , and the silver of their common weight. In what proportion was gold and silver mixed in the crown?

3. Describe fully how to determine the relation between the pressure and temperature of a gas kept at constant volume.

Define absolute temperature as determined by the air thermometer, and explain how the absolute zero is arrived at.

4. Describe Roy and Ramsden's method of determining the coefficient of expansion of a metal bar.

5. Describe the Wimshurst machine, and explain its action.

6. Describe the construction of the quadrant electro

meter.

State the general principle on which the construction of all forms of electrometer depends, and apply it to explain in general terms the action of the quadrant electrometer.

7. Describe the Dip circle, and show how to use it to determine accurately the angle of dip at any place.

8. Describe Ruhmkorff's induction coil.

action of the condenser attached to it.

Explain the

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