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"The purpose of this book is to explore what a liturgical approach to the Bible looks like and what hermeneutical implications this might have: How does the liturgy celebrate, understand, and communicate Scripture? The starting point is Pope Benedict's affirmation that "a faith-filled understanding of sacred Scripture must always refer back to the liturgy""--

Lectionaries --- Liturgical movement --- Liturgics --- History and criticism --- Catholic Church --- Liturgy. --- Vatican Council --- Bible --- Liturgical use.

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A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning from axioms which are considered evident for the given context and agreed upon by the community. It is this concept that sets mathematics apart from other disciplines and distinguishes it as the prototype of a deductive science. Proofs thus are utterly relevant for research, teaching and communication in mathematics and of particular interest for the philosophy of mathematics. In computer science, moreover, proofs have proved to be a rich source for already certified algorithms. This book provides the reader with a collection of articles covering relevant current research topics circled around the concept 'proof'. It tries to give due consideration to the depth and breadth of the subject by discussing its philosophical and methodological aspects, addressing foundational issues induced by Hilbert's Programme and the benefits of the arising formal notions of proof, without neglecting reasoning in natural language proofs and applications in computer science such as program extraction.

Proof theory. --- Mathematics. --- Logic, Symbolic and mathematical. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Math --- Science --- Logic, Symbolic and mathematical --- Mathematical Logic. --- Philosophy of Mathematics. --- Theoretical Computer Science.