2. On what grounds does Aristotle distinguish moral virtue from natural disposition and also from knowledge?

3. Reproduce, with any comments, the leading features in Spencer's chapter on the Physical View of Ethics.

4. How, according to Spencer, has the abstract sentiment of moral obligation been generated? Examine critically his account of the elements of authoritativeness and coerciveness.

5. Show the bearing of the hedonistic paradox on the doctrine of psychological hedonism. Compare the conclusions of Spencer and Green on this subject.

6. It has been objected that any one who defines the unconditional good as that to which the good will is directed, and the good will as the will for the unconditional good, is moving in a circle. How would you treat this objection?

7. What is the practical value of a theory of the moral ideal in cases of perplexity of conscience? What is Green's answer to this question?

8. On what grounds has it been predicted that altruistic activities will increase in the future of the human race?

VI.-HISTORY OF MODERN PHILOSOPHY.

Professor Laurie.

1. State the rules for the pursuit of knowledge laid down by Descartes in his Discourse on Method, and show their historical significance.

2. What meanings are to be attached to the statements of Spinoza that God is a thinking thing (res cogitans), and again, that He is an extended thing (res extensa)? Show, historically, the origin of these tenets.

3. How did Leibniz apply his law of continuity to the doctrine of monads? And in what meanings did he attribute perception and appetition to all

monads ?

4. Compare Leibniz's theory of the relation between. the human mind and body with the doctrine of the Occasionalists.

5. Mention any points in Locke's account of the human understanding which have been held to militate against empiricism.

6. Compare the treatment of personal identity by Locke and Hume respectively.

7. Mention briefly the leading points of agreement, and of difference, between the idealism of Berkeley and the scepticism of Hume.

8. What do you take to be the most important differfor the historian of philosophy, between the instinctive beliefs of Reid and the a priori of Kant?

ences,

SCHOOL OF MATHEMATICS.

MATHEMATICS.-PAPER I.

The Board of Examiners.

Write Essays on not more than three of the following subjects:

(1) Convergence of series.

(2) Focal properties of plane curves.

(3) Roulettes.

(4) Horographs.

(5) Geodesics and geodesic coordinates.

(6) Ruled surfaces.

MATHEMATICS.-PAPER II.

The Board of Examiners.

Write Essays on not more than three of the following subjects:

(1) General Expansion-theorems in the Differential Calculus.

(2) Maxima and minima of a function of two or more independent variables.

(3) Integration of a function which becomes infinite within the limits.

(4) Change of variables and the order of integration in a multiple integral.

(5) Discrimination of a stationary value of a single integral.

(6) Surfaces of minimum area.

MATHEMATICS.-PAPER III.

The Board of Examiners.

Write Essays on not more than three of the following subjects:

(1) Linear ordinary equations of the second order. (2) Bessel's equation.

(3) Simultaneous linear ordinary differential equations with constant coefficients.

(4) Partial differential equations of the first order.

(5) Symbolical methods of solution of partial differential equations.

MATHEMATICS.-PAPER IV.

The Board of Examiners.

Write Essays on not more than three of the following subjects:

(1)

The fundamental theorems of Graphic Statics. (2) Gyrostats.

(3) Jacobi's partial differential equation in Dynamics.

(4) The attraction of ellipsoids.

(5) General properties of gravitational potential. (6) Theory of potential applied to the sphere.

MATHEMATICS.-PAPER V.

The Board of Examiners.

Write Essays on not more than three of the following subjects:

(1) Fourier's Series.

(2) The analysis of Stress.

(3) Plane stress of isotropic bodies.

(4) Flexure of cylindrical beams.

(5) The differential equation for thin plates under normal forces.