Theory of Science

The present selection from the Wissenschaftslehre (Sulzbach 1837) of Bernard Bolzano (1781-1848) aims at giving a compact view of his main ideas in logic, semantics, epistemology and the methodology of science. These ideas are analyzed from a modern point of view in the Introduction. Furthermore, excerpts from Bolzano's correspondence are included which yield important remarks on his own work. The translation of the sections from the Wissenschaftslehre are based on a German text, which I have located in the Manuscript Department of the University Library in Prague (signature: 75 B 459). It was one of Bolzano's own copies of his printed work and contains a vast number of corrections made by Bolzano himself, thus representing the final stage of his thought, which has gone unnoticed in previous editions. The German originals of Bolzano's letters to M. J. Fesl, J. P. Romang, R. Zimmermann and F. Pi'ihonsky are in the Literary Archive of the Pamatnfk narodnfho pfsemnictvf in Prague. The original of the letter to F. Exner belongs to the Manuscript Department of the Osterreichische Nationalbibliothek in Vienna. The original of the letter to J. E. Seidel is preserved in the Museum of the City of Ceske Budejovice.

Inhalt
Editor's Introduction.- I. Logic as a Theory of Science.- II. Propositions and Sentences.- III. Ideas in Themselves.- IV. The Reduction of Sentences.- V. Judgment and Knowledge.- VI. Intuition and Concept.- VII. The Notion of Variation.- VIII. Analytic and Synthetic Propositions.- IX. Consistency and Derivability.- X. Degree of Validity and Probability.- XI. The Objective Hierarchy of Propositions.- XII. Set and Continuum.- XIII. Infinite Sets.- XIV. Natural Numbers.- XV. Conclusion.- A A Selection from the Wissenschaftslehre (Sulzbach 1837, Leipzig 191431) ['+A' ('-A') means including (excluding) the Anmerkung(en)]: Volume One.- One / Theory of Fundamental Truths.- One / On the Existence of Truths in Themselves.- Two / On the Possibility of Knowing the Truth.- Two / Theory of Elements § 46. Purpose, Content and Sections of this Part.- One / On Ideas in Themselves.- Volume Two.- Two / On Propositions in Themselves.- Three / On True Propositions.- Four / On Inferences.- Volume Three.- Three / Theory of Knowledge.- One / On Ideas.- Two / On Judgments.- Three / The Relationship of our Judgments to the Truth.- Volume Four.- Five / Theory of Science Proper.- One / General Theory.- Four / On the Propositions which should Occur in a Scholarly Treatise.- B Excerpts from Bolzano's Correspondence.- Letter to J. E. Seidel, 26 January 1833 (Manuscript in Krajské muzeum v Ceských Bud?jovicích; transcription by Jan Berg).- Letter to M. J. Fesl, 8 February 1834 (Manuscript in Literární ar chív Památníku národního písemnictví v Praze; published in Wissenschaft und Religion im Vormärz. Der Briefwechsel Bernard Bolzanos mit Michael Josef Fesl (ed. by E. Winter and W. Zeil), Berlin 1965, p. 58,1. 4 1. 3 f.b.).- Letter to F. Exner, 22 November 1834(Manuscript in Österreichische Nationalbibliothek Wien; published in Der Briefwechsel B. Bolzano's mit F. Exner (ed. by E. Winter), Bernard Bolzano's Schriften, vol. 4, Prague 1935, p. 62,1. 32 - p. 67, 1. 38).- Letter to J. P. Romang, 1 May 1847 (Manuscript in the same archive as Letter to M. J. Fesl (above); published in Philosophisches Jahrbuch der Görresgesellschaft, vol. 51, Fulda 1938, p. 50,1. 5f.b. - p. 53, 1. 16).- Letter to R. Zimmermann, 9 March 1848 (Manuscript in the same archive as Letter to M. J. Fesl (above); transcription by Jan Berg).- Letter to F. P?íhonský, 10 March 1848 (Manuscript in the same archive as Letter to M. J. Fesl (above); published in E. Winter: Der Böhmische Vormärz in Brief en B. Bolzanos an F. P?ihonskí, Berlin 1956, p. 285,1. 1 1. 16).- A. Works by Bolzano.- 1. Works on Logic, Epistemology and Methodology of Science.- 2. Works on Mathematics.- B. Works on Bolzano.- 1. General Works.- 2. Biographies.- 3. Logic.- 4. Mathematics.- 5. Metaphysics.- 6. Theology.- 7. Social Philosophy.- 8. Aesthetics.- Name Index.