Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

eebo-0203

Baptists --- Doctrines. --- Smyth, John, --- Church of England --- Baptist authors. --- Principles and inferences concerning the visible Church.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of mathematics away from questions about the reality and truth of mathematical entities and statements and toward a focus on what mathematicians actually do-and how that evolves and changes over time. How do new mathematical entities come to be? What internal, natural, cognitive, and social constraints shape mathematical cultures? How do mathematical signs form and reform their meanings? How can we model the cognitive processes at play in mathematical evolution? And how does mathematics tie together ideas, reality, and applications?Roi Wagner uniquely combines philosophical, historical, and cognitive studies to paint a fully rounded image of mathematics not as an absolute ideal but as a human endeavor that takes shape in specific social and institutional contexts. The book builds on ancient, medieval, and modern case studies to confront philosophical reconstructions and cutting-edge cognitive theories. It focuses on the contingent semiotic and interpretive dimensions of mathematical practice, rather than on mathematics' claim to universal or fundamental truths, in order to explore not only what mathematics is, but also what it could be. Along the way, Wagner challenges conventional views that mathematical signs represent fixed, ideal entities; that mathematical cognition is a rigid transfer of inferences between formal domains; and that mathematics' exceptional consensus is due to the subject's underlying reality.The result is a revisionist account of mathematical philosophy that will interest mathematicians, philosophers, and historians of science alike.

Mathematics --- Mathematics --- Benedetto. --- Black-Scholes formula. --- Eugene Wigner. --- Friedrich W.J. Schelling. --- George Lakoff. --- Gilles Deleuze. --- Hermann Cohen. --- Hilary Putnam. --- Johann G. Fichte. --- Logic of Sensation. --- Mark Steiner. --- Rafael Nez. --- Stanislas Dehaene. --- Vincent Walsh. --- Water J. Freeman III. --- abbaco. --- algebra. --- arithmetic. --- authority. --- cognitive theory. --- combinatorics. --- conceptual freedom. --- constraints. --- economy. --- gender role stereotypes. --- generating functions. --- geometry. --- inferences. --- infinities. --- infinity. --- mathematical cognition. --- mathematical concepts. --- mathematical cultures. --- mathematical domains. --- mathematical entities. --- mathematical evolution. --- mathematical interpretation. --- mathematical language. --- mathematical metaphor. --- mathematical norms. --- mathematical objects. --- mathematical practice. --- mathematical signs. --- mathematical standards. --- mathematical statements. --- mathematics. --- natural order. --- natural sciences. --- nature. --- negative numbers. --- number sense. --- option pricing. --- philosophy of mathematics. --- reality. --- reason. --- relevance. --- semiosis. --- sexuality. --- stable marriage problem. --- Philosophy --- History. --- History. --- Benedetto. --- Black-Scholes formula. --- Eugene Wigner. --- Friedrich W.J. Schelling. --- George Lakoff. --- Gilles Deleuze. --- Hermann Cohen. --- Hilary Putnam. --- Johann G. Fichte. --- Logic of Sensation. --- Mark Steiner. --- Rafael Nez. --- Stanislas Dehaene. --- Vincent Walsh. --- Water J. Freeman III. --- abbaco. --- algebra. --- arithmetic. --- authority. --- cognitive theory. --- combinatorics. --- conceptual freedom. --- constraints. --- economy. --- gender role stereotypes. --- generating functions. --- geometry. --- inferences. --- infinities. --- infinity. --- mathematical cognition. --- mathematical concepts. --- mathematical cultures. --- mathematical domains. --- mathematical entities. --- mathematical evolution. --- mathematical interpretation. --- mathematical language. --- mathematical metaphor. --- mathematical norms. --- mathematical objects. --- mathematical practice. --- mathematical signs. --- mathematical standards. --- mathematical statements. --- mathematics. --- natural order. --- natural sciences. --- nature. --- negative numbers. --- number sense. --- option pricing. --- philosophy of mathematics. --- reality. --- reason. --- relevance. --- semiosis. --- sexuality. --- stable marriage problem.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The information age owes its existence to a little-known but crucial development, the theoretical study of logic and the foundations of mathematics. The Great Formal Machinery Works draws on original sources and rare archival materials to trace the history of the theories of deduction and computation that laid the logical foundations for the digital revolution.Jan von Plato examines the contributions of figures such as Aristotle; the nineteenth-century German polymath Hermann Grassmann; George Boole, whose Boolean logic would prove essential to programming languages and computing; Ernst Schröder, best known for his work on algebraic logic; and Giuseppe Peano, cofounder of mathematical logic. Von Plato shows how the idea of a formal proof in mathematics emerged gradually in the second half of the nineteenth century, hand in hand with the notion of a formal process of computation. A turning point was reached by 1930, when Kurt Gödel conceived his celebrated incompleteness theorems. They were an enormous boost to the study of formal languages and computability, which were brought to perfection by the end of the 1930s with precise theories of formal languages and formal deduction and parallel theories of algorithmic computability. Von Plato describes how the first theoretical ideas of a computer soon emerged in the work of Alan Turing in 1936 and John von Neumann some years later.Shedding new light on this crucial chapter in the history of science, The Great Formal Machinery Works is essential reading for students and researchers in logic, mathematics, and computer science.

Information technology --- Computers --- History. --- Arend Heyting. --- Begriffsschrift. --- Bertrand Russell. --- David Hilbert. --- Earth. --- Ernst Schröder. --- Eugenio Beltrami. --- Gentzen. --- George Boole. --- Gerard Gentzen. --- Gottlob Frege. --- Guiseppe Peano. --- Gödel. --- Göttingen. --- Hermann Grassmann. --- Heyting algebras. --- Hilbert. --- Karl Menger. --- Kurt Gödel. --- Kurt Hensel. --- Leopold Kronecker. --- Moritz Schlick. --- Paul Bernays. --- Peano. --- Principia Mathematica. --- Rudolf Carnap. --- Thoralf Skolem. --- Vienna Circle. --- algebraic equations. --- algebraic logic. --- algorithmic computability. --- angles. --- arithmetic. --- assumptions. --- axioms. --- basic notions. --- calculus. --- classical arithmetic. --- computation. --- connectives. --- contemporary logic. --- deduction. --- deductive reasoning. --- digital revolution. --- finitary reasoning. --- finitism. --- geometry. --- hypothetic reasoning. --- incompleteness theorems. --- indirect proofs. --- inference. --- information age. --- intuistic arithmetic. --- lattice theory. --- logic. --- logical empiricism. --- logical structure. --- logical truths. --- mathematical logic. --- mathematical proofs. --- mathematical roots. --- mathematics. --- negation. --- non-Euclidan geometries. --- notation. --- one-place predicates. --- parallel postulate. --- philosophy. --- programming language. --- proof. --- pure thinking. --- quantificational inferences. --- theorems. --- triangles.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Developmental immunology --- Developmental immunology. --- Hematopoietic System --- Immune System --- Immunity, Cellular --- Cellular Immune Response --- Cell-Mediated Immunity --- Cell Mediated Immunity --- Cell-Mediated Immunities --- Cellular Immune Responses --- Cellular Immunities --- Cellular Immunity --- Immune Response, Cellular --- Immune Responses, Cellular --- Immunities, Cell-Mediated --- Immunities, Cellular --- Immunity, Cell-Mediated --- Response, Cellular Immune --- Lymphokines --- T-Lymphocytes --- Interleukin-12 --- Immune Systems --- System, Immune --- Systems, Immune --- Hematopoietic Systems --- System, Hematopoietic --- Immunology, Developmental --- Developmental biology --- Immunology --- Hematopoietic System. --- Immune System. --- Immunity, Cellular. --- Phylogeny. --- Phylogenomics --- Phylogenies --- Phylogenomic --- Classification --- Phylogeography --- Periodicals --- Agriculture Sciences --- Health Sciences --- Life Sciences --- Soil Chemistry, Microbiology, Fertility & Fertilizers --- Genetics --- General and Others --- Community Phylogenetics --- Molecular Phylogenetics --- Phylogenetic Analyses --- Phylogenetic Analysis --- Phylogenetic Clustering --- Phylogenetic Comparative Analysis --- Phylogenetic Comparative Methods --- Phylogenetic Distance --- Phylogenetic Generalized Least Squares --- Phylogenetic Groups --- Phylogenetic Incongruence --- Phylogenetic Inference --- Phylogenetic Networks --- Phylogenetic Reconstruction --- Phylogenetic Relatedness --- Phylogenetic Relationships --- Phylogenetic Signal --- Phylogenetic Structure --- Phylogenetic Tree --- Phylogenetic Trees --- Analyse, Phylogenetic --- Analysis, Phylogenetic --- Analysis, Phylogenetic Comparative --- Clustering, Phylogenetic --- Community Phylogenetic --- Comparative Analysis, Phylogenetic --- Comparative Method, Phylogenetic --- Distance, Phylogenetic --- Group, Phylogenetic --- Incongruence, Phylogenetic --- Inference, Phylogenetic --- Method, Phylogenetic Comparative --- Molecular Phylogenetic --- Network, Phylogenetic --- Phylogenetic Analyse --- Phylogenetic Clusterings --- Phylogenetic Comparative Analyses --- Phylogenetic Comparative Method --- Phylogenetic Distances --- Phylogenetic Group --- Phylogenetic Incongruences --- Phylogenetic Inferences --- Phylogenetic Network --- Phylogenetic Reconstructions --- Phylogenetic Relatednesses --- Phylogenetic Relationship --- Phylogenetic Signals --- Phylogenetic Structures --- Phylogenetic, Community --- Phylogenetic, Molecular --- Reconstruction, Phylogenetic --- Relatedness, Phylogenetic --- Relationship, Phylogenetic --- Signal, Phylogenetic --- Structure, Phylogenetic --- Tree, Phylogenetic --- Phylogeny

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Aims to apply the latest trends and methodologies in publishing and preservation of digital materials to meet the highest possible standards of the cybertaxonomy era.

Mycology --- Phylogeny --- Botany --- Mycologie --- Botanique --- classification --- Periodicals. --- Périodiques --- Mycology. --- Phylogeny. --- Botany. --- classification. --- Open Access --- current periodical --- Fungi --- taxonomy --- peer-reviewed journal --- mycology --- fungal biology --- Microbiology --- Botanical science --- Phytobiology --- Phytography --- Phytology --- Plant biology --- Plant science --- Biology --- Natural history --- Plants --- Phylogenies --- Classification --- Phylogeography --- Infectious Disease Medicine --- Phylogenomics --- Phylogenomic --- Community Phylogenetics --- Molecular Phylogenetics --- Phylogenetic Analyses --- Phylogenetic Analysis --- Phylogenetic Clustering --- Phylogenetic Comparative Analysis --- Phylogenetic Comparative Methods --- Phylogenetic Distance --- Phylogenetic Generalized Least Squares --- Phylogenetic Groups --- Phylogenetic Incongruence --- Phylogenetic Inference --- Phylogenetic Networks --- Phylogenetic Reconstruction --- Phylogenetic Relatedness --- Phylogenetic Relationships --- Phylogenetic Signal --- Phylogenetic Structure --- Phylogenetic Tree --- Phylogenetic Trees --- Analyse, Phylogenetic --- Analysis, Phylogenetic --- Analysis, Phylogenetic Comparative --- Clustering, Phylogenetic --- Community Phylogenetic --- Comparative Analysis, Phylogenetic --- Comparative Method, Phylogenetic --- Distance, Phylogenetic --- Group, Phylogenetic --- Incongruence, Phylogenetic --- Inference, Phylogenetic --- Method, Phylogenetic Comparative --- Molecular Phylogenetic --- Network, Phylogenetic --- Phylogenetic Analyse --- Phylogenetic Clusterings --- Phylogenetic Comparative Analyses --- Phylogenetic Comparative Method --- Phylogenetic Distances --- Phylogenetic Group --- Phylogenetic Incongruences --- Phylogenetic Inferences --- Phylogenetic Network --- Phylogenetic Reconstructions --- Phylogenetic Relatednesses --- Phylogenetic Relationship --- Phylogenetic Signals --- Phylogenetic Structures --- Phylogenetic, Community --- Phylogenetic, Molecular --- Reconstruction, Phylogenetic --- Relatedness, Phylogenetic --- Relationship, Phylogenetic --- Signal, Phylogenetic --- Structure, Phylogenetic --- Tree, Phylogenetic --- Floristic botany