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Added by: Berta Grimau
Publisher's note: We are frequently confronted with arguments. Arguments are attempts to persuade us - to influence our beliefs and actions - by giving us reasons to believe this or that. Critical Thinking: A Concise Guide will equip students with the concepts and techniques used in the identification, analysis and assessment of arguments. Through precise and accessible discussion, this book provides the tools to become a successful critical thinker, one who can act and believe in accordance with good reasons, and who can articulate and make explicit those reasons. Key topics discussed include:- Core concepts in argumentation.
- How language can serve to obscure or conceal the real content of arguments; how to distinguish argumentation from rhetoric.
- How to avoid common confusions surrounding words such as 'truth', 'knowledge' and 'opinion'.
- How to identify and evaluate the most common types of argument.
- How to distinguish good reasoning from bad in terms of deductive validly and induction.
Brading, Katherine, Elena Castellani. Symmetry and Symmetry Breaking2013, The Standford Encyclopedia of Philosophy-
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Added by: Laura Jimenez
Introduction: Symmetry considerations dominate modern fundamental physics, both in quantum theory and in relativity. Philosophers are now beginning to devote increasing attention to such issues as the significance of gauge symmetry, quantum particle identity in the light of permutation symmetry, how to make sense of parity violation, the role of symmetry breaking, the empirical status of symmetry principles, and so forth. These issues relate directly to traditional problems in the philosophy of science, including the status of the laws of nature, the relationships between mathematics, physical theory, and the world, and the extent to which mathematics suggests new physics. This entry begins with a brief description of the historical roots and emergence of the concept of symmetry that is at work in modern science. It then turns to the application of this concept to physics, distinguishing between two different uses of symmetry: symmetry principles versus symmetry arguments. It mentions the different varieties of physical symmetries, outlining the ways in which they were introduced into physics. Then, stepping back from the details of the various symmetries, it makes some remarks of a general nature concerning the status and significance of symmetries in physics.Comment: This article offers a good introduction to the topic of symmetries. The entry begins with a brief description of the historical roots and emergence of the concept of symmetry that could serve as a reading for undergraduates. It then turns to the application of this concept to physics and merges the discussion with issues in relativity and quantum mechanics. This second part of the article is thus more suitable to postgraduate courses in philosophy of science, specially, philosophy of physics. It could serve as a secondary reading for those researching the laws of nature.
Briggs, Ray. The Metaphysics of Chance2010, Philosophy Compass 5(11): 938-952.-
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Added by: Emily Paul
Abstract: This article surveys several interrelated issues in the metaphysics of chance. First, what is the relationship between the probabilities associated with types of trials (for instance, the chance that a twenty?eight?year old develops diabetes before age thirty) and the probabilities associated with individual token trials (for instance, the chance that I develop diabetes before age thirty)? Second, which features of the the world fix the chances: are there objective chances at all, and if so, are there non?chancy facts on which they supervene? Third, can chance be reconciled with determinism, and if so, how?Comment: A nice introduction to the Metaphysics of Chance, suitable for an intermediate metaphysics course. Could also be a good bridge into a determinism or decision theory course element. Requires prior knowledge of some concepts e.g. token/type distinction and supervenience - but could also be a good way to learn what these are. Alternatively, a particular section of the article could be set (e.g. the final section on whether chance can be reconciled with determinism).
Broadie, Sarah. Plato’s Sun-Like Good: Dialectic in the Republic2021, Cambridge University Press-
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, Contributed by: Quentin PharrPublisher’s Note:
Plato's Sun-Like Good is a revolutionary discussion of the Republic's philosopher-rulers, their dialectic, and their relation to the form of the good. With detailed arguments Sarah Broadie explains how, if we think of the form of the good as 'interrogative', we can re-conceive those central reference-points of Platonism in down-to-earth terms without loss to our sense of Plato's philosophical greatness. The book's main aims are: first, to show how for Plato the form of the good is of practical value in a way that we can understand; secondly, to make sense of the connection he draws between dialectic and the form of the good; and thirdly, to make sense of the relationship between the form of the good and other forms while respecting the contours of the sun-good analogy and remaining faithful to the text of the Republic itself.Comment: This text is an excellent companion text for reading Plato's Republic - especially Books 5 and 6. It provides clear interpretations of the various metaphors and analogies that Plato presents in those books, and it provides one of the most important new interpretations of Plato's conception of philosopher-rulers, the Form of the Good, and philosophical dialectic. This text is primarily for those students who are looking to dive into the relevant debates associated with these books in the Republic. Accordingly, it requires some understanding of some of Plato's other dialogues, as well as some understanding of philosophical and mathematical methodologies as conceived by Plato.
Capozzi, Mirella, Roncaglia, Gino. Logic and Philosophy of Logic from Humanism to Kant2009, In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press-
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Added by: Franci MangravitiAbstract:
This chapter begins with a discussion of humanist criticisms of scholastic logic. It then discusses the evolution of the scholastic tradition and the influence of Renaissance Aristotelianism, Descartes and his influence, the Port-Royal Logic, the emergence of a logic of cognitive faculties, logic and mathematics in the late 17th century, Gottfried Wilhelm Leibniz's role in the history of formal logic, and Kant's influence on logic.
Comment: Useful for a history of logic course. Familiarity with Aristotelian syllogistic is assumed.
Cardona, Carlos Alberto. Kepler: Analogies in the search for the law of refraction2016, Studies in History and Philosophy of Science Part A 59:22-35.-
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Added by: Clotilde Torregrossa, Contributed by: Juan R. Loaiza
Publisher's Note: This paper examines the methodology used by Kepler to discover a quantitative law of refraction. The aim is to argue that this methodology follows a heuristic method based on the following two Pythagorean principles: (1) sameness is made known by sameness, and (2) harmony arises from establishing a limit to what is unlimited. We will analyse some of the author's proposed analogies to find the aforementioned law and argue that the investigation's heuristic pursues such principles.Comment:
Carter, Jessica. Diagrams and Proofs in Analysis2010, International Studies in the Philosophy of Science, 24(1): 1-14.-
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Added by: Fenner Stanley TanswellAbstract:
This article discusses the role of diagrams in mathematical reasoning in the light of a case study in analysis. In the example presented certain combinatorial expressions were first found by using diagrams. In the published proofs the pictures were replaced by reasoning about permutation groups. This article argues that, even though the diagrams are not present in the published papers, they still play a role in the formulation of the proofs. It is shown that they play a role in concept formation as well as representations of proofs. In addition we note that 'visualization' is used in two different ways. In the first sense 'visualization' denotes our inner mental pictures, which enable us to see that a certain fact holds, whereas in the other sense 'visualization' denotes a diagram or representation of something.Comment (from this Blueprint): In this paper, Carter discusses a case study from free probability theory in which diagrams were used to inspire definitions and proof strategies. Interestingly, the diagrams were not present in the published results making them dispensable in one sense, but Carter argues that they are essential in the sense that their discovery relied on the visualisation supplied by the diagrams.
Cauman, Leigh S.. First Order Logic: An Introduction1998, Walter de Gruyter & Co.-
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Added by: Berta Grimau, Contributed by: Matt Clemens
Publisher's Note: This teaching book is designed to help its readers to reason systematically, reliably, and to some extent self-consciously, in the course of their ordinary pursuits-primarily in inquiry and in decision making. The principles and techniques recommended are explained and justified - not just stated; the aim is to teach orderly thinking, not the manipulation of symbols. The structure of material follows that of Quine's Methods of Logic, and may be used as an introduction to that work, with sections on truth-functional logic, predicate logic, relational logic, and identity and description. Exercises are based on problems designed by authors including Quine, John Cooley, Richard Jeffrey, and Lewis Carroll.Comment: This book is adequate for a first course on formal logic. Moreover, its table of contents follows that of Quine's "Methods of Logic", thus it can serve as an introduction or as a reference text for the study of the latter.
Chatti, Saloua. Avicenna on Possibility and Necessity2014, History and Philosophy of Logic 35(4): 332-353.-
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Added by: Sara Peppe
Abstract: In this paper, I raise the following problem: How does Avicenna define modalities? What oppositional relations are there between modal propositions, whether quantified or not? After giving Avicenna's definitions of possibility, necessity and impossibility, I analyze the modal oppositions as they are stated by him. This leads to the following results: 1. The relations between the singular modal propositions may be represented by means of a hexagon. Those between the quantified propositions may be represented by means of two hexagons that one could relate to each other. 2. This is so because the exact negation of the bilateral possible, i.e. 'necessary or impossible' is given and applied to the quantified possible propositions. 3. Avicenna distinguishes between the scopes of modality which can be either external (de dicto) or internal (de re). His formulations are external unlike al-F̄ar̄ab̄
;’s ones.
However his treatment of modal oppositions remains incomplete because not all the relations between the modal propositions are stated explicitly. A complete analysis is provided in this paper that fills the gaps of the theory and represents the relations by means of a complex figure containing 12 vertices and several squares and hexagons.Comment: This article is useful for eastern philosophy courses and logic courses. Although the first part provides an accessible introduction to Avicenna's perspective, it would be better for students to have some prior background in logic. This article is useful for eastern philosophy courses and logic courses. Even if in the first part it provides an introductory section on Avicenna's perspective, it would be better to have some pre-esxisting background on this latter one.
Chatti, Saloua. Extensionalism and Scientific Theory in Quine’s Philosophy2011, International Studies in the Philosophy of Science 25(1):1-21.-
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Added by: Sara Peppe
Abstract: In this article, I analyze Quine's conception of science, which is a radical defence of extensionalism on the grounds that first?order logic is the most adequate logic for science. I examine some criticisms addressed to it, which show the role of modalities and probabilities in science and argue that Quine's treatment of probability minimizes the intensional character of scientific language and methods by considering that probability is extensionalizable. But this extensionalizing leads to untenable results in some cases and is not consistent with the fact that Quine himself admits confirmation which includes probability. Quine's extensionalism does not account for this fact and then seems unrealistic, even if science ought to be extensional in so far as it is descriptive and mathematically expressible.Comment: This text provide an in-depth overview and critique on Quine's perspective on modality and it would be crucial in postgraduate courses of philosophy of science and logic. Previous knowledge on Quine, modality and quantum mechanics is needed.
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Bowell, Tracy, Gary Kemp. Critical Thinking: A Concise Guide
2014, Routledge; 4 edition.
Comment: Appropriate for complete beginners to logic and philosophy. Adequate for an introduction to critical thinking. It doesn't presuppose any previous knowledge of logic. Moreover, there is an interactive website for the book which provides resources for both instructors and students including new examples and case studies, flashcards, sample questions, practice questions and answers, student activities and a test bank of questions for use in the classroom.