Analogy and the Transcendental Properties of Being As the Key to Metaphysical Science
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Using Analogy to Learn About Phenomena at Scales Outside Human Perception Ilyse Resnick1*, Alexandra Davatzes2, Nora S
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Springer - Publisher Connector Resnick et al. Cognitive Research: Principles and Implications (2017) 2:21 Cognitive Research: Principles DOI 10.1186/s41235-017-0054-7 and Implications ORIGINAL ARTICLE Open Access Using analogy to learn about phenomena at scales outside human perception Ilyse Resnick1*, Alexandra Davatzes2, Nora S. Newcombe3 and Thomas F. Shipley3 Abstract Understanding and reasoning about phenomena at scales outside human perception (for example, geologic time) is critical across science, technology, engineering, and mathematics. Thus, devising strong methods to support acquisition of reasoning at such scales is an important goal in science, technology, engineering, and mathematics education. In two experiments, we examine the use of analogical principles in learning about geologic time. Across both experiments we find that using a spatial analogy (for example, a time line) to make multiple alignments, and keeping all unrelated components of the analogy held constant (for example, keep the time line the same length), leads to better understanding of the magnitude of geologic time. Effective approaches also include hierarchically and progressively aligning scale information (Experiment 1) and active prediction in making alignments paired with immediate feedback (Experiments 1 and 2). Keywords: Analogy, Magnitude, Progressive alignment, Corrective feedback, STEM education Significance statement alignment and having multiple opportunities to make Many fundamental science, technology, engineering, and alignments are critical in supporting reasoning about mathematic (STEM) phenomena occur at extreme scales scale, and that the progressive and hierarchical that cannot be directly perceived. For example, the Geo- organization of scale information may provide salient logic Time Scale, discovery of the atom, size of the landmarks for estimation. -
Analogical Processes and College Developmental Reading
Analogical Processes and College Developmental Reading By Eric J. Paulson Abstract: Although a solid body of research is analogical. An analogical process involves concerning the role of analogies in reading processes the identification of partial similarities between has emerged at a variety of age groups and reading different objects or situations to support further proficiencies, few of those studies have focused on inferences and is used to explain new concepts, analogy use by readers enrolled in college develop- solve problems, and understand new areas and mental reading courses. The current study explores ideas (Gentner, & Colhoun, 2010; Gentner & Smith, whether 232 students enrolled in mandatory (by 2012). For example, when a biology teacher relates placement test) developmental reading courses the functions of a cell to the activities in a factory in in a postsecondary educational context utilize order to introduce and explain the cell to students, analogical processes while engaged in specific this is an analogical process designed to use what reading activities. This is explored through two is already familiar to illuminate and explain a separate investigations that focus on two different new concept. A process of mapping similarities ends of the reading spectrum: the word-decoding between a source (what is known) and a target Analogy appears to be a key level and the overall text-comprehension level. (what is needed to be known) in order to better element of human thinking. The two investigations reported here build on understand the target (Holyoak & Thagard, 1997), comparable studies of analogy use with proficient analogies are commonly used to make sense of readers. -
Beauty As a Transcendental in the Thought of Joseph Ratzinger
The University of Notre Dame Australia ResearchOnline@ND Theses 2015 Beauty as a transcendental in the thought of Joseph Ratzinger John Jang University of Notre Dame Australia Follow this and additional works at: https://researchonline.nd.edu.au/theses Part of the Philosophy Commons COMMONWEALTH OF AUSTRALIA Copyright Regulations 1969 WARNING The material in this communication may be subject to copyright under the Act. Any further copying or communication of this material by you may be the subject of copyright protection under the Act. Do not remove this notice. Publication Details Jang, J. (2015). Beauty as a transcendental in the thought of Joseph Ratzinger (Master of Philosophy (School of Philosophy and Theology)). University of Notre Dame Australia. https://researchonline.nd.edu.au/theses/112 This dissertation/thesis is brought to you by ResearchOnline@ND. It has been accepted for inclusion in Theses by an authorized administrator of ResearchOnline@ND. For more information, please contact [email protected]. School of Philosophy and Theology Sydney Beauty as a Transcendental in the Thought of Joseph Ratzinger Submitted by John Jang A thesis in partial fulfilment of the requirements of the degree of Master of Philosophy Supervised by Dr. Renée Köhler-Ryan July 2015 © John Jang 2015 Table of Contents Abstract v Declaration of Authorship vi Acknowledgements vii Introduction 1 Structure 3 Method 5 PART I - Metaphysical Beauty 7 1.1.1 The Integration of Philosophy and Theology 8 1.1.2 Ratzinger’s Response 11 1.2.1 Transcendental Participation 14 1.2.2 Transcendental Convertibility 18 1.2.3 Analogy of Being 25 PART II - Reason and Experience 28 2. -
Demonstrative and Non-Demonstrative Reasoning by Analogy
Demonstrative and non-demonstrative reasoning by analogy Emiliano Ippoliti Analogy and analogical reasoning have more and more become an important subject of inquiry in logic and philosophy of science, especially in virtue of its fruitfulness and variety: in fact analogy «may occur in many contexts, serve many purposes, and take on many forms»1. Moreover, analogy compels us to consider material aspects and dependent-on-domain kinds of reasoning that are at the basis of the lack of well- established and accepted theory of analogy: a standard theory of analogy, in the sense of a theory as classical logic, is therefore an impossible target. However, a detailed discussion of these aspects is not the aim of this paper and I will focus only on a small set of questions related to analogy and analogical reasoning, namely: 1) The problem of analogy and its duplicity; 2) The role of analogy in demonstrative reasoning; 3) The role of analogy in non-demonstrative reasoning; 4) The limits of analogy; 5) The convergence, particularly in multiple analogical reasoning, of these two apparently distinct aspects and its philosophical and methodological consequences; § 1 The problem of analogy and its duplicity: the controversial nature of analogical reasoning One of the most interesting aspects of analogical reasoning is its intrinsic duplicity: in fact analogy belongs to, and takes part in, both demonstrative and non-demonstrative processes. That is, it can be used respectively as a means to prove and justify knowledge (e.g. in automated theorem proving or in confirmation patterns of plausible inference), and as a means to obtain new knowledge, (i.e. -
SKETCHING, ANALOGIES, and CREATIVITY on the Shared
J. S. Gero, B. Tversky and T. Purcell (eds), 2001, Visual and Spatial Reasoning in Design, II Key Centre of Design Computing and Cognition, University of Sydney, Australia, pp. SKETCHING, ANALOGIES, AND CREATIVITY On the shared research interests of psychologists and designers ILSE M. VERSTIJNEN, ANN HEYLIGHEN, JOHAN WAGEMANS AND HERMAN NEUCKERMANS K.U.Leuven Belgium Abstract. Paper and pencil sketching, visual analogies, and creativity are intuitively interconnected in design. This paper reports on previous and current research activities of a psychologist (the 1st author) and an architect/designer (the 2nd author) on issues concerning sketching and analogies, and analogies and creativity respectively. In this paper we tried to unite these findings into a combined theory on how sketching, analogies, and creativity interrelate. An appealing theory emerges. It is hypothesized that with no paper available or no expertise to use it, analogies can be used to support the creative process instead of sketches. This theory, however, is a tentative one that needs more research to be confirmed. 1. Sketching Within creative professions, mental imagery often interacts with paper and pencil sketching. Artists and designers (among others) frequently engage into sketching and, without any proper paper available, will often report frustration and resort to newspaper margins, back of envelops, beer mats or the like. Although anecdotally, this frustration seems to be quite common, and demonstrates the importance of paper and pencil sketching as a necessary aid to mental imagery. Paper and pencil sketches are one form of externalization of mental images, and therefore can inform us about characteristics of these images. -
CALCULUS: Early Transcendentals, 6E
Sheet1 Math1161.01= Math 1161.02= Regular FEH Engineering Mathematics Semester I : 5 Credit hours (Autumn semester) Textbook sections are from J. Stewart: CALCULUS: Early Transcendentals, 6E Lecture Days Section# # of pages Subject Week 1 3 2.1 5 The Tangent and Velocity Problems 2.2 9 The Limit of a Function 2.3 7 Calculating Limits Using the Limit Laws Week 2 3 2.4 8 Precise Definition of a Limit 2.5 8 Continuity 2.6 11 Limits at Infinity; Horizontal Asymptodes 2.7 7 Tangents, Velocities, and Other Rates of Change Week 3 3 2.8 8 The Derivative as a Function 3.1 8 Derivatives of Polynomials and of Exponentials 3.2 4 The Product and Quotient Rules 3.3 5 Derivatives of Trigonometric Functions Week 4 3 3.4 5 The Chain Rule 3.5 6 Implicit Differentiation 3.6 5 Derivatives of logarithmic functions 3.7 9 Rates of change in the sciences Week 5 3 Review Midterm I 3.8 6 Exponential growth and decay 3.9 4 Related rates Week 6 3 3.10 5 Linear Approximations and Differentials 3.11 5 Hyperbolic Functions 4.1 6 Maximum and Minimum Values 4.2 5 The Mean Value Theorem Week 7 3 4.3 8 How Derivatives Affect the Shape of a Graph 4.4 6 Indeterminate Forms and L'Hospital's Rule 4.5 7 Summary of Curve Sketching 4.6 5 Graphing with Calculus and Calculators Week 8 3 4.7 6 Optimization Problems 4.9 5 Antiderivatives Midterm II 5.1 9 Areas and Distances Week 9 3 5.2 10 The Definite Integral 5.3 9 The Fundamental Theorem of Calculus 5.4 6 Indefinite Integral and the Net Change Theorem Week10 3 5.5 6 The Substitution Rule 6.1 5 Area between Curves 6.2 8 Volumes -
Aristotle's Concept of Analogy and Its Function in the Metaphysics By
Aristotle’s Concept of Analogy and its Function in the Metaphysics by Alexander G. Edwards Submitted in partial fulfilment of the requirements for the degree of Master of Arts at Dalhousie University Halifax, Nova Scotia August 2016 © Copyright by Alexander G. Edwards, 2016 for my parents, Jeff and Allegra τὸ δυνατὸν γὰρ ἡ φιλία ἐπιζητεῖ, οὐ τὸ κατ’ ἀξίαν· οὐδὲ γὰρ ἔστιν ἐν πᾶσι, καθάπερ ἐν ταῖς πρὸς τοὺς θεοὺς τιμαῖς καὶ τοὺς γονεῖς· οὐδεὶς γὰρ τὴν ἀξίαν ποτ’ ἂν ἀποδοίη, εἰς δύναμιν δὲ ὁ θεραπεύων ἐπιεικὴς εἶναι δοκεῖ. – EN VIII.14 ii Table of Contents Abstract iv List of Abbreviations Used v Acknowledgements vi Chapter 1: Introduction 1 Chapter 2: Analogy, Focality, and Aristotle’s concept of the analogia entis 4 Chapter 3: The Function of Analogy within the Metaphysics 45 Chapter 4: Conclusion 71 Bibliography 74 iii Abstract This thesis aims to settle an old dispute concerning Aristotle’s concept of analogy and its function in the Metaphysics. The question is whether Aristotle’s theory of pros hen legomena, things predicated in reference to a single term, is implicitly a theory of analogy. In the Middle Ages, such unity of things said in reference to a single source, as the healthy is said in reference to health, was termed the analogy of attribution. Yet Aristotle never explicitly refers to pros hen unity as analogical unity. To arrive at an answer to this question, this thesis explores Aristotle’s concept of analogy with an eye to its actual function in the argument of the Metaphysics. As such, it offers an account of the place and role of analogy in Aristotelian first philosophy. -
Analogical Thinking for Idea Generation to Some Extent, Everyone Uses Analogies As a Thinking Mechanism in Daily Life (Holyoak & Thagard, 1996)
Interdisciplinary Journal of Information, Knowledge, and Management Volume 11, 2016 Cite as: Kim, E., & Horii, H. (2016). Analogical thinking for generation of innovative ideas: An exploratory study of influential factors. Interdisciplinary Journal of Information, Knowledge, and Management, 11, 201-214. Retrieved from http://www.informingscience.org/Publications/3539 Analogical Thinking for Generation of Innovative Ideas: An Exploratory Study of Influential Factors Eunyoung Kim and Hideyuki Horii Center for Knowledge Structuring, The University of Tokyo, Tokyo, Japan [email protected]; [email protected] Abstract Analogical thinking is one of the most effective tools to generate innovative ideas. It enables us to develop new ideas by transferring information from well-known domains and utilizing them in a novel domain. However, using analogical thinking does not always yield appropriate ideas, and there is a lack of consensus among researchers regarding the evaluation methods for assessing new ideas. Here, we define the appropriateness of generated ideas as having high structural and low superficial similarities with their source ideas. This study investigates the relationship be- tween thinking process and the appropriateness of ideas generated through analogical thinking. We conducted four workshops with 22 students in order to collect the data. All generated ideas were assessed based on the definition of appropriateness in this study. The results show that par- ticipants who deliberate more before reaching the creative leap stage and those who are engaged in more trial and error for deciding the final domain of a new idea have a greater possibility of generating appropriate ideas. The findings suggest new strategies of designing workshops to en- hance the appropriateness of new ideas. -
Resources for Research on Analogy: a Multi- Disciplinary Guide Marcello Guarini University of Windsor
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Scholarship at UWindsor University of Windsor Scholarship at UWindsor Philosophy Publications Department of Philosophy 2009 Resources for Research on Analogy: A Multi- disciplinary Guide Marcello Guarini University of Windsor Amy Butchart Paul Smith Andrei Moldovan Follow this and additional works at: http://scholar.uwindsor.ca/philosophypub Part of the Philosophy Commons Recommended Citation Guarini, Marcello; Butchart, Amy; Smith, Paul; and Moldovan, Andrei. (2009). Resources for Research on Analogy: A Multi- disciplinary Guide. Informal Logic, 29 (2), 84-197. http://scholar.uwindsor.ca/philosophypub/18 This Article is brought to you for free and open access by the Department of Philosophy at Scholarship at UWindsor. It has been accepted for inclusion in Philosophy Publications by an authorized administrator of Scholarship at UWindsor. For more information, please contact [email protected]. Resources for Research on Analogy: A Multi-disciplinary Guide MARCELLO GUARINI* Department of Philosophy University of Windsor Windsor, ON Canada [email protected] AMY BUTCHART Department of Philosophy Guelph University Gulph, ON Canada [email protected] PAUL SIMARD SMITH Department of Philosophy University of Waterloo Waterloo, ON Canada [email protected] ANDREI MOLDOVAN Faculty of Philosophy Department of Logic, History and Philosophy of Science University of Barcelona Barcelona, Spain [email protected] * The first author wishes to thank the Social Sciences and Humanities Research Council of Canada for financial support over the four years during which this project was completed. ©Marcello Guarini, Amy Butchart, Paul Simard Smith, Andrei Moldovan. Informal Logic, Vol. 29, No.2, pp. -
Black Existential Philosophy: Truth in Virtue of Self-Discovery James B
Duquesne University Duquesne Scholarship Collection Electronic Theses and Dissertations Spring 2014 Black Existential Philosophy: Truth in Virtue of Self-Discovery James B. Haile Follow this and additional works at: https://dsc.duq.edu/etd Recommended Citation Haile, J. (2014). Black Existential Philosophy: Truth in Virtue of Self-Discovery (Doctoral dissertation, Duquesne University). Retrieved from https://dsc.duq.edu/etd/614 This Immediate Access is brought to you for free and open access by Duquesne Scholarship Collection. It has been accepted for inclusion in Electronic Theses and Dissertations by an authorized administrator of Duquesne Scholarship Collection. For more information, please contact [email protected]. BLACK EXISTENTIAL PHILOSOPHY: TRUTH IN VIRTUE OF SELF‐ DISCOVERY A Dissertation Submitted to McAnulty College and Graduate School of Liberal Arts Duquesne University In partial fulfillment of the requirements for the degree of Doctor of Philosophy By James B. Haile, III May 2014 i Copyright by James B. Haile, III 2014 ii BLACK EXISTENTIAL PHILOSOPHY: TRUTH IN VIRTUE OF SELF‐DISCOVERY By James B. Haile, III Approved June 23, 2013 _______________________________________ ________________________________________ James Swindal Michael Harrington Professor of Philosophy Associate Professor of Philosophy (Committee Chair) (Committee Member) ______________________________________ Jerry R. Ward Professor of English Retired, Dillard University (Committee Member) _____________________________________ _____________________________________ -
Notes on God's Transcendental Properties 1.Pdf
The “Infinity” of the Transcendental Properties of God The “properties” of God, the so-called transcendental properties, which traditionally include being, goodness and truth, as well as others like beauty, are paradigm examples of properties that are not “measurable.” They are not properties that are amenable to extensive measure as that idea is understood in modern science (see notes on extensive measure). That is, they are not properties for which it is possible to define an experimental unit and an experimental operation of “adding” one unit to another (called concatenation in measure theory). The best that is available for “quantities” of masses like being, goodness, truth, and beauty is that they may be put in to an ordering of more to less without exact numerical evaluation. It follows that it is not possible to apply the modern mathematical notion of “the infinite” to such “quantities” because the modern notion presupposes that it is possible to count – apply numbers to – the quantities that are being measured. It also follows that the only sense in which the properties of God would be infinite in a sense that is appropriate to a non-numerical ordering. In God’s being, truth, goodness, etc. are infinite only in the sense that the quantity of the properties that God possesses is the greatest possible. Below are internet texts explaining the transcendental properties. See also Thomas Aquinas, De Veritate, Q1, Articles 1‐3 http://en.wikipedia.org/wiki/Transcendentals Transcendentals From Wikipedia, the free encyclopedia Jump to: navigation, search This article is about the transcendental properties of being, for other articles about transcendence; see Transcendence (disambiguation). -
Textual Analogy Parsing: What’S Shared and What’S Compared Among Analogous Facts
Textual Analogy Parsing: What’s Shared and What’s Compared among Analogous Facts Matthew Lamm1;3 Arun Tejasvi Chaganty2;3∗ Christopher D. Manning1;2;3 Dan Jurafsky1;2;3 Percy Liang2;3 1Stanford Linguistics 2Stanford Computer Science 3Stanford NLP Group mlamm,jurafsky @stanford.edu chaganty,manning,pliangf g @cs.stanford.edu f g Abstract mention According to the U.S. Census , almost 10.9 million African parsing Americans , or 28% , live To understand a sentence like “whereas at or below the poverty line , analogy frame only 10% of White Americans live at or compared with 15% of Lati- source U.S. Census nos and approximately 10% below the poverty line, 28% of African quant live at or below the povery line of White Americans . Americans do” it is important not only to whole African Americans value 28% identify individual facts, e.g., poverty rates visualization whole Latinos of distinct demographic groups, but also the value 15% higher-order relations between them, e.g., the 25 whole White Americans value 10% disparity between them. In this paper, we 20 15 propose the task of Textual Analogy Parsing plotting (TAP) to model this higher-order meaning. 10 The output of TAP is a frame-style meaning % at/below poverty line Wh. Lat. AA representation which explicitly specifies what Figure 1: In textual analogy parsing (TAP), one is shared (e.g., poverty rates) and what is maps analogous facts to semantic role represen- compared (e.g., White Americans vs. African tations and identifies analogical relations between Americans, 10% vs. 28%) between its com- them.