5. Explain Plato's allegory of the Cave. How was it misunderstood by Reid?

6. What is the immediate object in Perception, according to Hamilton ?

Is this consistent with the doctrines of Natural Realism?

7. State precisely Berkeley's theory of Vision.

8. How does Hamilton show that Vision is the Sense preeminently percipient of Extension?

9. Upon what is the difficulty founded which metaphysicians have felt in endeavouring to explain how we see objects erect by means of inverted images?

What solutions of this fact have been proposed ?

10. How have the Qualities of Body been classified? Give Hamilton's account of the matter.

11. Define Association; state its fundamental laws, and the reduction of them by Hamilton.

12. Give Hamilton's account of the Faculty of Imagination. 13. Define Hamilton's Law of the Conditioned.

How does he deduce from it the Principle of Causality? 14. State Hamilton's theory of the Sublime and the Beautiful.

15. Where does Conscience find a place in Hamilton's system?

ECONOMIC SCIENCE.

Examiner-PROFESSOR BASTABLE.

1. Political economy has been described as an ethical science,' as 6 a mental science,' and as a social science.' Consider how far each of these descriptions is correct.

2. Trace the history of usury laws,' noticing specially the conditions that led to their employment in the mediæval period.

3. Write a short essay on the influence of cost of production on value.'

6

4. Note the chief economic arguments for and against the introduction of a general eight hour's day,' and estimate their force.

5. What are the normal and necessary marks, in a civilised community, of justice administered according to law' ?

6. State the principal arguments for and against 'codification.' Give some account of any one great legal code.

7. How does Maine account for the establishment of primogeniture in medieval Europe? Mention any analogous phenomena in other countries.

8. Compare the views of Austin, Maine, and Pollock on 'the relation of custom to law.'

SENIOR SCHOLARSHIP IN CHEMISTRY.

CHEMISTRY.

Examiner-PROFESSOR SENIER.

[Candidates are only permitted to attempt FIVE questions. Formula, equations, and diagrams are to be used whenever possible.]

1. Explain the various reactions which may occur when ammonium carbonate is subjected to the action of heat.

2. What are the differences as shown by experiment in the properties of the hydroxyl of acids and that of alcohols and phenols, and also in the amidogen of amides and primary amines? Upon what general fact do these differences depend?

3. Give instances of dissociation,' and state by what experimental means this phenomenon may be qualitatively and quantitatively observed.

4. Explain the aluminium chloride synthesis' of Friedel and Crafts as applied to the building up of alkyl benzenes.

5. Describe (a) Berthelot's synthesis of acetylene; (b) the usual process for the manufacture of acetylene for illuminating purposes; and (c) explain the instability of the acetylene molecule as shown by the explosive nature of the

gas, especially when subjected to pressures of more than two atmospheres.

6. Commencing with acetylene, show by what successive reactions (a) acetamide and (b) phenol may be obtained.

7. (a) Describe and explain Beckmann's apparatus for the determination of the relative weights of molecules; (b) 0.2 gram of a compound dissolved in 20 grams of water lowered the freezing point of the solvent by 0°.287. Calculate the relative weight of the molecules of the compound. Mol. lowering for water = 190.

CHEMISTRY.

Examiner-PROFESSOR SENIER.

[Give the results at which you arrive, together with full experimental proof. Describe the methods employed, and give equations, weighings, and calculations. Books of Reference may be consulted.]

1. A white powder. Search for two basic and two acidic radicals. [Potassium iodide and lead hydroxy carbonate.] 2. A native mineral. Identify it, and make a complete qualitative and quantitative analysis. [Selenite.]

SENIOR SCHOLARSHIP-NATURAL HISTORY.

NATURAL HISTORY.

Examiner-PROFESSOR RICHARD JOHN ANDERSON, M.A., M.D. 1. Describe the alimentary canal of a Dog Fish, and compare it with that of a Bony Fish.

2. Compare the hind limb of an Ox with that of a Horse.

3. Give an account of the Gymnosperms.

4. Note the chief features of the circulation and respiration in plants.

BLAYNEY EXHIBITION—SCIENCE.

MATHEMATICS.

Examiner-PROFESSOR A. C. DIXON.

1. Given four tangents to a parabola, find by a geometrical construction its focus and directrix.

2. R is the middle point of a circular arc PQ, whose centre is 0. Prove that the rectangular hyperbola which has and Q for two ends of a diameter, and has its axis parallel to OR passes through a point of trisection of the arc PR.

C

3. ABCD is a quadrilateral two of whose vertices A, are fixed. AB and CD are parallel, AD and BC meet on a fixed straight line. Prove that if B is made to describe any curve, the locus of D will be of the same degree.

there being n rows and n columns, prove that Un = (x + y) Un-1-xy Un-21

(− 1)" -1 (n − 1)! cosec" a sin n (a− y) sin” (a − y).

6. Trace the curve (x2 + a2) (y2 - b2) = 2x2y2, and prove that it has no real point of inflexion at a finite distance from the origin.

are numerically unaltered by the interchange of the dependent and independent variables.

8. Find the Cartesian equation to the curve whose intrinsic equation is s = a sin2 p.

10. An arithmetical and a geometrical progression have the same first and last terms a, 7 and the same number of terms. Prove that when the number of terms is indefinitely increased the limit of the ratio of the sum of the A. P. to the sum of the G. P. is

NATURAL PHILOSOPHY.

Examiner-PROFESSOR ALEXANDER ANDERSON.

1. Find the conditions of equilibrium of a system of forces in a plane.

Four equal uniform heavy rods freely jointed together are suspended from one of the joints; and they are kept in the form of a square by means of a horizontal weightless rod between the two adjacent joints. Find the stress in this rod.

2. State the principle of virtual work, and prove it for forces in a plane.

The lower end P of a uniform heavy rod of weight W slides on a smooth horizontal elliptic wire, and is attached to two strings which pass through smooth rings at the foci SH, and support weights P and Q. Show that, if the