Contents -- Copyright Permissions -- Introduction -- 1. GEORGE BERKELEY (1685-1753) -- A. From the Philosophical commentaries -- B. Of infinites -- C. Letter to Samuel Molyneux -- D. From A treatise concerning the principles of human knowledge, Part One -- E. De Motu -- F. From Alciphron -- G. From Newton's Principia mathematica -- H. The analyst -- 2. COLIN MACLAURIN (1698-1746) -- A. From A treatise of fluxions -- 3. JEAN LEROND D'ALEMBERT (1717-1783) -- A. Differential -- B. Infinite -- C. Limit -- 4. IMMANUEL KANT (1724-1804) -- A. From Thoughts on the true estimation of active forces -- B. From the Transcendental aesthetic -- C. From the Discipline of pure reason -- D. Frege on Kant -- 5. JOHANN HEINRICH LAMBERT (1728-1777) -- A. From the Theory of parallel lines -- 6. BERNARD BOLZANO (1781-1848) -- A. Preface to Considerations on some objects of elementary geometry -- B. Contributions to a better-grounded presentation of mathematics -- C. Purely analytic proof of the theorem that between any two values which give results of opposite sign there lies at least one real root of the equation -- D. From Paradoxes of the infinite -- 7. CARL FRIEDRICH GAUSS (1777-1855) -- A. On the metaphysics of mathematics -- B. Gauss on non-Euclidean geometry -- C. Notice on the theory of biquadratic residues -- 8. DUNCAN GREGORY (1813-1844) -- A. On the real nature of symbolical algebra -- 9. AUGUSTUS DE MORGAN (1806-1871) -- A. On the foundation of algebra -- B. Trigonometry and double algebra -- 10. WILLIAM ROWAN HAMILTON (1805-1865) -- A. From the Theory of conjugate functions, or algebraic couples -- with a preliminary and elementary essay on algebra as the science of pure time -- B. Preface to the Lectures on quaternions -- C. From the Correspondence of Hamilton with De Morgan -- 11. GEORGE BOOLE (1815-1864).

A. The mathematical analysis of logic, being an essay towards a calculus of deductive reasoning -- 12. JAMES JOSEPH SYLVESTER (1814-1897) -- A. Presidential address to Section 'A' of the British Association -- 13. WILLIAM KINGDON CLIFFORD (1845-1879) -- A. On the space theory of matter -- B. On the aims and instruments of scientific thought -- 14. ARTHUR CAYLEY (1821-1895) -- A. Presidential address to the British Association, September 1883 -- 15. CHARLES SANDERS PEIRCE (1839-1914) -- A. From Linear associative algebra -- B. Notes on Benjamin Peirce's linear associative algebra -- C. On the logic of number -- D. On the algebra of logic: a contribution to the philosophy of notation -- E. The logic of mathematics in relation to education -- F. From The simplest mathematics -- References -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- V -- W -- Z.