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Barbara Edwards, Michael B. Ward (2008)
Introduction One of the earliest subjects of undergraduate mathematics education research was students' difficulties in writing formal mathematical proofs. Some research focused on the heuristics involved in proof-writing, but early attempt...
OPENALEX
DOI: https://doi.org/10.5948/upo9780883859759.018
Yurong Dong, Hua Liu, Jianhua Ye, Gang Ma et al. • Axioms
(2025)
In this paper, an eco-epidemiological model with a weak Allee effect and prey disease dynamics is discussed. Mathematical features such as non-negativity, boundedness of solutions, and local stability of the feasible equilibria are discusse...
DOAJ
Open Access (DOAJ)
DOI: 10.3390/axioms14070531
Hilary Putnam • Cambridge University Press eBooks
(1979)
Introduction 1. Truth and necessity in mathematics 2. The thesis that mathematics is logic 3. Mathematics without foundations 4. What is mathematical truth? 5. Philosophy of physics 6. An examination of Grunbaum's philosophy of geometry 7. ...
OPENALEX
DOI: https://doi.org/10.1017/cbo9780511625268
Horst R. Thieme • Princeton University Press eBooks
(2003)
"The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results a...
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DOI: https://doi.org/10.1515/9780691187655
Faizal Rifky Fahreza, Moh Hasan, Kiswara Agung Santoso • Majalah Ilmiah Matematika dan Statistika
(2025)
The spread of infectious diseases can be analyzed dynamically using a discrete dynamic system. The characteristics of the infectious disease phenomenon are interesting to study as parameters considered in a dynamic system. Some of these inc...
DOAJ
Open Access (DOAJ)
DOI: 10.19184/mims.v25i1.53689
Geoffrey Paul Hellman (1993)
Abstract Develops a structuralist understanding of mathematics, as an alternative to set‐ or type‐theoretic foundations, that respects classical mathematical truth while minimizing Platonist commitments to abstract entities. Modal logic is ...
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DOI: https://doi.org/10.1093/0198240341.001.0001
Jamie I. D. Campbell • Psychology Press eBooks
(2005)
Part 1: Cognitive Representations for Number and Mathematics. M. Fayol, X. Seron, About Numerical Representations: Insights from Neuropsychological, Experimental and Developmental Studies. M. Brysbaert, Number Recognition in Different Forma...
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DOI: https://doi.org/10.4324/9780203998045
Angelo Margaris, Alonzo Church • American Mathematical Monthly
(1957)
is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and...
OPENALEX
DOI: https://doi.org/10.2307/2310410
Suljkanović Mersiha, Suljagić Jasmin, Hasić Nusreta, Hodžić Selmina • Acta Periodica Technologica
(2019)
A Cloud point extraction (CPE) procedure was presented for preconcentration
of lead(II) ions, after complexation by 18-crown-6 (18C6) and extraction
with Triton X-100 at proposed experimental conditions. After separation of
surfact...
DOAJ
Open Access (DOAJ)
DOI: 10.2298/APT1950286S
Hartry H. Field • Philosophical Topics
(1988)
Fictionalism, epistemology and modality realism and anti-realism about mathematics is mathematical knowledge just logical knowledge? on conservativeness and incompleteness Platonism for cheap? - Crispin Wright on Frege's context principle c...
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DOI: https://doi.org/10.5840/philtopics19881613
Jager, Ronald • Routledge eBooks
(2014)
Russell's logical investigations in the foundations of mathematics produced a fund of novel ideas, techniques, and possibilities. His powers of conception and exposition have made the subject an engaging area of study for generations of stu...
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DOI: https://doi.org/10.4324/9781315830582-12
• Routledge eBooks
(2011)
Mathematics Teacher Noticing is the first book to examine research on the particular type of noticing done by teachers---how teachers pay attention to and make sense of what happens in the complexity of instructional situations. In the mids...
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Open Access
DOI: https://doi.org/10.4324/9780203832714
Stephen Cole Kleene • International Linear Collider
(1967)
Undergraduate students with no prior instruction in mathematical logic will benefit from this multi-part text. Part I offers an elementary but thorough overview of mathematical logic of 1st order. Part II introduces some of the newer ideas ...
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Elliott Mendelson • A K Peters/CRC Press eBooks
(2005)
Logic, the systematic study of reasoning, is one of the oldest branches of mathematics. For example, the notion of a syllogism was important to the ancient Greeks, and the phrase “Aristotelian logic” is still commonly used. But the flowering...
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DOI: https://doi.org/10.1201/b13782-17
Eric Temple Bell • Journal of Symbolic Logic
(1947)
From one of the greatest minds in contemporary mathematics, Professor E.T. Bell, comes a witty, accessible, and fascinating look at the beautiful craft and enthralling history of mathematics. Men of Mathematics provides a rich account of ma...
OPENALEX
DOI: https://doi.org/10.2307/2267270
John Mordechai Gottman, J. D. Murray, Catherine Swanson, Rebecca C. Tyson et al. • The MIT Press eBooks
(2002)
Divorce rates are at an all-time high. But without a theoretical understanding of the processes related to marital stability and dissolution, it is difficult to design and evaluate new marriage interventions. The Mathematics of Marriage pro...
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DOI: https://doi.org/10.7551/mitpress/4499.001.0001
Justice Kwame Appati, Prince Kofi Nartey, Ebenezer Owusu, Ismail Wafaa Denwar • International Journal of Mathematics and Mathematical Sciences
(2021)
Biometrics consists of scientific methods of using a person’s unique physiological or behavioral traits for electronic identification and verification. The traits for biometric identification are fingerprint, voice, face, and palm print rec...
DOAJ
Open Access (DOAJ)
DOI: 10.1155/2021/5545488
Mark Colyvan (2001)
Abstract Looks at the Quine–Putnam indispensability argument in the philosophy of mathematics. This argument urges us to place mathematical entities on the same ontological footing as other theoretical entities indispensable to our best sci...
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DOI: https://doi.org/10.1093/019513754x.001.0001
Bertrand Russell, Michael Potter • Routledge eBooks
(2022)
"The philosophy of mathematics will naturally be expected to deal with questions at the frontier of knowledge, as to which comparative certainty is not yet attained. But separation of such questions is hardly likely to be fruitful unless th...
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DOI: https://doi.org/10.4324/9781003308881
Bertrand Russell • Routledge eBooks
(2009)
First published in 1903, Principles of Mathematics was Bertrand Russell’s first major work in print. It was this title which saw him begin his ascent towards eminence. In this groundbreaking and important work, Bertrand Russell argues that ...
OPENALEX
DOI: https://doi.org/10.4324/9780203864760