B.Sc.(Edinburgh), M.Sc., Ph.D (London) Professor Peter Milne joined the division at Stirling as Professor in 2007, coming from the University of Edinburgh at which he had taught since 1993. Prior to that he had taught at Birkbeck College (University of London), and before that held lecturing positions at the University of Liverpool and Heythrop College (University of London), and a research position at Massey University, Palmerston North, New Zealand.
What is the Normative Role of Logic?. Annual Joint Session of the Aristotelian Society and the Mind Association
Philosophy of Logic, Formal Logic, Confirmation Theory, Foundations of Probability, History of Modern Logic and Analytic Philosophy
Article
Methodological and conceptual challenges in rare and severe event forecast verification
Ebert PA & Milne P (2022) Methodological and conceptual challenges in rare and severe event forecast verification. Natural Hazards and Earth System Sciences, 22 (2), pp. 539-557. https://doi.org/10.5194/nhess-22-539-2022
Book Chapter
Assertion, Inference and the Conditional
Milne P (2018) Assertion, Inference and the Conditional. In: Beran O, Kolman V & Koren L (eds.) From Rules to Meanings: New Essays on Inferentialism. Abingdon: Routledge, pp. 219 - 235.
Article
Milne P (2017) A refinement of the Craig-Lyndon Interpolation Theorem for classical first-order logic (with identity). Logique et Analyse, 60 (240), pp. 389-420. https://doi.org/10.2143/LEA.240.0.3254088
Conference Paper (published)
Classical Logic through the Looking-Glass
Milne P (2016) Classical Logic through the Looking-Glass. In: Arazim P & Dancak M (eds.) Logica Yearbook 2015. Logica 2015, Hejnice, Czech Republic, 15.06.2015-19.06.2015. London: College Publications. http://www.collegepublications.co.uk/logica/?00029
Article
A non-classical refinement of the interpolation property for classical propositional logic
Milne P (2016) A non-classical refinement of the interpolation property for classical propositional logic. Logique et Analyse, 59 (235), pp. 273-281. http://virthost.vub.ac.be/lnaweb/ojs/index.php/LogiqueEtAnalyse/article/view/1856; https://doi.org/10.2143/LEA.235.0.3170109
Book Chapter
Inversion principles and introduction rules
Milne P (2015) Inversion principles and introduction rules. In: Wansing H (ed.) Dag Prawitz on Proofs and Meaning. first ed. Outstanding Contributions to Logic, 7. Cham, Heidelberg, New York, Dordrecht, London: Springer, pp. 189-224. http://www.springer.com/us/book/9783319110400
Book Chapter
Structures, homomorphisms, and the needs of model theory
Milne P (2015) Structures, homomorphisms, and the needs of model theory. In: Arazim P & Dancak M (eds.) Logica Yearbook 2014. The Logica Yearbook. London: College Publications, pp. 215-231. http://logika.flu.cas.cz/en/logica-yearbook/logica-yearbook
Article
Information, Confirmation, and Conditionals
Milne P (2014) Information, Confirmation, and Conditionals. Journal of Applied Logic, 12 (3), pp. 252-262. https://doi.org/10.1016/j.jal.2014.05.003
Article
Not every truth has a truthmaker II
Milne P (2013) Not every truth has a truthmaker II. Analysis, 73 (3), pp. 473-481. https://doi.org/10.1093/analys/ant037
Book Chapter
Tractatus 5.4611: 'Signs for logical operations are punctuation marks'
Milne P (2013) Tractatus 5.4611: 'Signs for logical operations are punctuation marks'. In: Sullivan P & Potter M (eds.) Wittgenstein's Tractatus : History & Interpretation. Mind Association Occasional Series. Oxford: Oxford University Press, pp. 97-124. http://ukcatalogue.oup.com/product/9780199665785.do
Article
Probability as a Measure of Information Added
Milne P (2012) Probability as a Measure of Information Added. Journal of Logic, Language and Information, 21 (2), pp. 163-188. http://www.scopus.com/inward/record.url?partnerID=yv4JPVwI&eid=2-s2.0-84858745390&md5=4bed76ec97860ab2a63e88d5e07ce9cd; https://doi.org/10.1007/s10849-011-9142-0
Book Chapter
Inferring, splicing, and the Stoic analysis of argument
Milne P (2012) Inferring, splicing, and the Stoic analysis of argument. In: Dutilh Novaes C & Hjortland O (eds.) Insolubles and Consequences: Essays in Honour of Stephen Read. Tributes, 18. London: College Publications, pp. 135-154. http://www.collegepublications.co.uk/tributes/?00018
Article
Belief, Degrees of Belief, and Assertion
Milne P (2012) Belief, Degrees of Belief, and Assertion. Dialectica, 66 (3), pp. 331-349. https://doi.org/10.1111/j.1746-8361.2012.01309.x
Article
Milne P (2012) Indicative conditionals, conditional probabilities, and the "defective truth-table": A request for more experiments. Thinking and Reasoning, 18 (2), pp. 196-224. https://doi.org/10.1080/13546783.2012.670754
Article
Subformula and separation properties in natural deduction via small Kripke models
Milne P (2010) Subformula and separation properties in natural deduction via small Kripke models. The Review of Symbolic Logic, 3 (2), pp. 175-227. https://doi.org/10.1017/S175502030999030X
Book Chapter
Frege's folly: bearerless names and Basic Law V
Milne P (2010) Frege's folly: bearerless names and Basic Law V. In: Ricketts T & Potter M (eds.) The Cambridge Companion to Frege. Cambridge: Cambridge University Press, pp. 465-508. http://www.cambridge.org/gb/knowledge/isbn/item5708351/?site_locale=en_GB
Article
The Mathematical Pull of Temptation Revisited
Fulda JS & Milne P (2009) The Mathematical Pull of Temptation Revisited. Acta Analytica, 24 (2), pp. 91-96. https://doi.org/10.1007/s12136-009-0047-3
Conference Paper (published)
What is the Normative Role of Logic?
Milne P (2009) What is the Normative Role of Logic?. In: volume 83. Annual Joint Session of the Aristotelian Society and the Mind Association, University of East Anglia, 10.07.2009-12.07.2009. Wiley-Blackwell / Aristotelian Society, pp. 269-298. http://www.aristoteliansociety.org.uk/jsessions/jsess_programme.html; https://doi.org/10.1111/j.1467-8349.2009.00182.x
Book Chapter
Betting on Fuzzy and Many–valued Propositions
Milne P (2009) Betting on Fuzzy and Many–valued Propositions. In: Peli? M (ed.) The Logica Yearbook 2008. The Logica Yearbook. London: College Publications, pp. 145-154. http://www.collegepublications.co.uk/other/?00012
Article
Bets and Boundaries: Assigning Probabilities to Imprecisely Specified Events
Milne P (2008) Bets and Boundaries: Assigning Probabilities to Imprecisely Specified Events. Studia Logica, 90 (3), pp. 425-453. https://doi.org/10.1007/s11225-008-9160-3
Article
Milne P (2008) Russell's Completeness Proof. History and Philosophy of Logic, 29 (1), pp. 31-62. https://doi.org/10.1080/01445340701414295
Article
Existence and identity in free logic: Two comments
Milne P (2007) Existence and identity in free logic: Two comments. Mind, 116 (464), pp. 1079-1082. https://doi.org/10.1093/mind/fzm1079
Article
Omniscient beings are dialetheists
Milne P (2007) Omniscient beings are dialetheists. Analysis, 67 (295), pp. 250-251.
Article
On Godel Sentences and What They Say
Milne P (2007) On Godel Sentences and What They Say. Philosophia Mathematica, 15 (2), pp. 193-226. https://doi.org/10.1093/philmat/nkm015
Article
Not every truth has a truthmaker
Milne P (2005) Not every truth has a truthmaker. Analysis, 65 (287), pp. 221-224. https://doi.org/10.1111/j.1467-8284.2005.00553.x