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Truth Through Proof defends an anti-platonist philosophy of
mathematics derived from game formalism. Classic formalists claimed
implausibly that mathematical utterances are truth-valueless moves
in a game. Alan Weir aims to develop a more satisfactory successor
to game formalism utilising a widely accepted, broadly neo-Fregean
framework, in which the proposition expressed by an utterance is a
function of both sense and background circumstance. This framework
allows for sentences whose truth-conditions are not
representational, which are made true or false by conditions
residing in the circumstances of utterances but not transparently
in the sense.
Applications to projectivism and fiction pave the way for the claim
that mathematical utterances are made true or false by the
existence of concrete proofs or refutations, though these
truth-making conditions form no part of their sense or
informational content.
The position is compared with rivals, an account of the
applicability of mathematics developed, and a new account of the
nature of idealisation proffered in which it is argued that the
finitistic limitations Godel placed on proofs are without rational
justification. Finally a non-classical logical system is provided
in which excluded middle fails, yet enough logical power remains to
recapture the results of standard mathematics.
Acutely unwell patients can deteriorate dangerously without timely
recognition and intervention. Emergencies in Clinical Medicine
provides an easy-to-use guide to the prompt management of common
medical emergencies. Designed for rapid use, it explains how to
arrive at a differential diagnosis and how to prevent, manage, or
treat an emergency. The second edition has been fully updated to
reflect current clinical guidelines and includes several new
topics, from pulmonary oedemas to the overdose patient. Revised to
cover the curricula for core medical training (CMT) and acute care
common stem (ACS), this text addresses exactly what the trainee
doctor needs to know. The text covers emergencies from both a
problem-based and disease-based approach. Cross-referencing between
these two sections enables quick reference under pressure, with
clear, step-by-step instructions and advice on when and who to call
for help. With key algorithms for quick reference and easy to
follow symbols indicating clinical severity, from life-threatening
to minor, this text will help clinical staff managing acutely ill
patients in an easy-to-read and portable format.
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