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One of the most striking features of mathematics is the fact that
we are much more certain about the mathematical knowledge we have
than about what mathematical knowledge is knowledge of. Are
numbers, sets, functions and groups physical entities of some kind?
Are they objectively existing objects in some non-physical,
mathematical realm? Are they ideas that are present only in the
mind? Or do mathematical truths not involve referents of any kind?
It is these kinds of questions that have encouraged philosophers
and mathematicians alike to focus their attention on issues in the
philosophy of mathematics. Over the centuries a number of
reasonably well-defined positions about the nature of mathematics
have been developed and it is these positions (both historical and
current) that are surveyed in the current volume.
Traditional theories (Platonism, Aristotelianism, Kantianism), as
well as dominant modern theories (logicism, formalism,
constructivism, fictionalism, etc.), are all analyzed and
evaluated. Leading-edge research in related fields (set theory,
computability theory, probability theory, paraconsistency) is also
discussed.
The result is a handbook that not only provides a comprehensive
overview of recent developments but that also serves as an
indispensable resource for anyone wanting to learn about current
developments in the philosophy of mathematics.
-Comprehensive coverage of all main theories in the philosophy of
mathematics
-Clearly written expositions of fundamental ideas and
concepts
-Definitive discussions by leading researchers in the field
-Summaries of leading-edge research in related fields (set theory,
computability theory, probability theory, paraconsistency) are also
included
This set offers the reader a way into the secondary literature on
Russell. It features a critical commentary on Russell's life and
influence, as well as his work on logic, the philosophy of
mathematics, metaphysics, epistemology, the history of philosophy,
ethics, education, religion and politics. The books feature
biographies of Russell by Broad, Gandy, Kreisel and Ayer, detailing
the major events of Russell's life and introducing the main themes
of his writings. Wood and Blackwell analyze the Russell's
philosophical development, as well as recounting the relationship
he had with Ludwig Wittgenstein. Chapters by Delany, Feinberg,
Kasrils, and Ryan give insight into the controversial issues with
which Russell was associated. The first volume One covers Russell's
life, work and influence. Volume 2 covers Russell's work on logic
and mathematics and the next volume Three covers Russell's work on
language, knowledge and the world. The final volume in the set
covers his work on history of philosophy, ethics, education,
religion and politics.
It's the usual story. Girl meets girl. Girl arrests girl. Girl gets
caught up in massive underground movement to liberate society from
government oppression. Oh and there is the small matter of an
albino werewolf wreaking havoc on the city... In recent years the
government has reluctantly acknowledged the existence and rights of
werewolves in society. All the while brutally resisting a new
'disease' that is sweeping through the world, a sexually
transmitted disease that gifts the afflicted with psychic powers.
'Psi' has become an underground phenomenon amongst the lonely,
disenfranchised and those seeking a connection in their mundane
lives. The government has responded with incarceration,
'rehabilitation' centres and in the most extreme cases execution of
the afflicted. Detective Sydney Summers went undercover to bust a
major 'Psi' ring. She fell in love. She arrested her girlfriend and
had her sentenced to death for her crimes. Now she is one of the
afflicted herself. Sydney is also one of the Officers charged with
protecting the public from this affliction. As a series of hate
crimes and increasingly violent murders take place in her city
Sydney is partnered with the handsome and enigmatic Federal Agent
Michael Marsters to stop the killer. A killer Michael seems
intimately familiar with, what secret's is he hiding? As Sydney's
psi abilities become critical to catching the killer she is faced
with a terrible choice: stop the killer and expose herself or have
the blood of the innocent on her hands.
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