| CODE | PHI3006 | ||||||
| TITLE | Philosophy of Science: (a) Foundations of Mathematics (b) Protophyiscs (c) Foundations of the Cultural Sciences | ||||||
| UM LEVEL | 03 - Years 2, 3, 4 in Modular Undergraduate Course | ||||||
| MQF LEVEL | 6 | ||||||
| ECTS CREDITS | 6 | ||||||
| DEPARTMENT | Philosophy | ||||||
| DESCRIPTION | Foundations of Mathematics Objectives: (i) Understanding the special nature of the objects of Arithmetic (the numbers) as 'abstract' objects; (ii) Understanding that Arithmetic should not be introduced axiomatically but constructively. Content: Construction of the natural numbers and the rational numbers. The "axioms" of Peano. Reading List:Lorenzen, P., Differential and Integral Protophysics Objectives: Understanding the special nature of the predicators of Protophysics as 'ideal' predicates. Content: Illustration of the technique of ideation by means of the introduction of the term "plane" into the language of Geometry (the Protophysics of Space). Reading List: Lorenzen, P., Normative Logic and Ethics. Bibliographisches Institut, Mannheim. An unpublished English translation (by V.Riolo) of: Rudiger Inhetveen, "Die Dinge des dritten Systems", in Kuno Lorenz (ed), Konstruktionen versus Positionen, 19, de Gruyter, Berlin. Foundations of the Cultural Sciences Objectives: Understanding the process of rational deliberation; grounding of actions and objections. Content: A construction of the principles for the grounding of actions and objective-settings. Reading List: An unpublished English translation (by V. Riolo) of the second Chapter, written by Oswald Schwemmer, of Paul Lorenzen, Oswald Schwemmer, Konstruktive Logik, Ethik und Wissenschaftstheorie, 2nd ed., Mannheim 1975. Pre-requisite: PHI 2001, Logic |
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| STUDY-UNIT TYPE | Lecture | ||||||
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| LECTURER/S | Vincent Riolo |
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The availability of optional units may be subject to timetabling constraints. Units not attracting a sufficient number of registrations may be withdrawn without notice. It should be noted that all the information in the description above applies to study-units available during the academic year 2025/6. It may be subject to change in subsequent years. |
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