42 | genoveva martı´ constructive empiricist’s attitude towards mathematical objects (Dickenand an appropriate constructive empiricist account of modality (DickenChurchill College

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Gradual Typing for Objects Jeremy Siek1 and Walid Taha2 , 1 University of Colorado, Boulder, CO 80309, USA

Source URL: ecee.colorado.edu

• Type theory
• Software engineering
• Programming language theory
• Mathematical logic
• Type systems
• Data types
• Gradual typing
• Subtyping
• Symbol
• Type safety
• Model theory
• Type inference

What do mathematicians study, and why?3 2 The short answer is: mathematicians study the mathematical objects that inhabit the mathematical universe, with the goal of discovering and confirming the universal principles o

Source URL: www.math.rutgers.edu

Chris Peikert – Research Statement My research is dedicated to developing new, stronger mathematical foundations for cryptography, with a particular focus on geometric objects called lattices. Informally, a lattice is

Source URL: web.eecs.umich.edu

God
and
Mathematical
Objects∗
 Christopher
Menzel
 1 Introduction: Models and Modernism Postmodernists
 typically
 question
 the
 very
 coherence
 of
 claims
 to
 knowledge
 of
 “obj

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OVERARCHING ESSENTIAL QUESTIONS I. How is mathematics used to quantify and compare situations, events and phenomena? II. What are the mathematical attributes of objects or processes and how are they measured or calculat

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Epistemological Challenges to Mathematical Platonism The claims of mathematics purport to refer to mathematical objects. And most of these claims are true. Hence there exist mathematical objects. Though extremely brief,

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Skyline Sampling Choosing Representative Objects from Skylines by Combining Low-Dimensional Subset Skylines Stefan Schnürle Competence Center Distributed Secure Software Systems (D3S)

Source URL: ecom.d3s.ch

• Mathematical optimization
• Game theory
• Pareto efficiency
• Voting system criteria
• Cluster analysis
• Economics
• Database
• Academia
• Economy

Kant and the natural numbers Klaus Frovin Jørgensen Section for Philosophy and Science Studies, Roskilde University 1 Introduction The ontological status of mathematical objects is perhaps the most important unsolved pr

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LINEAR SPACES 1.1 Introduction Throughout mathematics we encounter many examples of mathematical objects that

Source URL: www.systems.caltech.edu