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being lazy since badiou makes it very clear that between being and event and number and numbers he has explained more than enough and that anyone who still claims not to understand should write to me telling me exactly what it is they don t understand otherwise i fear we re simply dealing with excuses for the reader s laziness tw 19 you gotta love this line but still repetita iuvant burhan was probably thinking about this line of badiou s when he subtitled the workshop everything you needed to know about forcing but were afraid to ask alain badiou i ll be giving an introductory presentation of b e as a whole which given that i expect most of the people there to be already familiar with it it s going be very short and sweet enough from me the program follows a set theory postgraduate workshop for readers of being and event or everything you needed to know about forcing but was afraid to ask alain badiou 24 may 31 may and 7 june 2011 in room g03 28 russell square as part of its ongoing seminar series on mathematics for the humanities and cultural studies the london consortium will hold a series of three postgraduate students workshops that aims to discuss and provide a quick overview of some of the mathematics that needs to be known in order to follow the use of set theory in alain badiou s being and event l être et l événement the main focus of these bootcamps will be on introducing and discussing in a friendly manner the technicalities concerning the mathematical bulwarks mentioned in badiou s philosophical masterpiece 1 the zermelo fraenkel axioms of set theory 2 the theory of ordinal and cardinal numbers 3 kurt gödel and paul cohen s work on consistency and independence particular attention will be paid towards providing a sufficiently detailed rigorous and clear explication of paul cohen s technique of forcing and generic models a mathematical result that peter hallward has called the single most important postulate in the whole of being and event if time permits we might also be touching on some recent mathematical developments in the field as well as trying to understand how badiou contributes towards the contemporary re intervention of mathematical thinking into philosophy the workshops will be held in room g03 at 28 russell square bloomsbury london the intended audience are postgraduate students or researchers who are interested in understanding badiou s philosophy but who lack the mathematical background there are no assigned compulsory readings for the bootcamps and there are no pre requisites save for some minimal familiarity with mathematics at the pre university level the sessions are free and open to the public but please register by sending your name email and affiliation to forcing badiou gmx com so as to give us an idea of the numbers since the classroom size unfortunately will be limited workshop convener burhanuddin baki schedule and list of topics session i tuesday 24 may 2 4pm basic mathematics and short introduction to forcing short introduction to badiou s being and event basic arithmetic abstract algebra and first order logic idea of mathematical proof induction naïve set theory cantor s theorem and russell s paradox 6 8pm zermelo fraenkel set theory zermelo fraenkel axioms plus the axiom of choice zfc peano axioms of arithmetic gödel s incompleteness theorems being and event parts i ii iv and v some alternative axiomatizations of mathematics and set theory session ii tuesday 31 may 2 4pm cardinal and ordinal numbers cardinal numbers well orderings ordinal numbers continuum hypothesis being and event part iii and meditation 26 introduction to surreal numbers 6 8pm kurt gödel and the constructible hierarchy some relevant model theory formal semantics of situations formal semantics of events gödel s completeness theorem compactness theorem löwenheim skolem theorem and paradox transfinite induction cumulative and constructible hierarchies axiom of constructibility gödel s proof of consistency being and event meditation 29 introduction to large and inaccessible cardinals session iii tuesday 7 june 2 4pm paul cohen forcing and generic models general machinery of forcing analogy between forcing and field extensions cohen s proof of independence 6 8pm beyond cohen s forcing cohen s proof of independence con t being and event meditations 33 34 36 forcing in terms of kripkean semantics forcing in terms of boolean valued models forcing axioms and generic absoluteness introduction to categorial logic and topos theory forcing in terms of topos theory short introduction to forcing in badiou s the logics of worlds suggested introductory reading list avigad j 2004 forcing in proof theory http www andrew cmu edu user avigad papers forcing pdf badiou a 2007 being and event translated by oliver feltham london continuum badiou a 2007 the concept of model translated by zachary fraser tzuchien tho victoria re press badiou a 2008 number and numbers translated by robin mackay cambridge polity badiou a 2009 the logics of worlds translated by alberto toscano london continuum bowden s 2005 alain badiou from ontology to politics and back http jffp pitt edu ojs index php jffp article view 244 238 chow t 2004 forcing for dummies http math mit edu tchow mathstuff forcingdum chow t 2008 a beginner s guide to forcing http arxiv org abs 0712 1320 cohen p 2002 the discovery of forcing http projecteuclid org dpubs repository 1 0 disseminate view body id pdf_1 handle euclid rmjm 1181070 010 cohen p 2008 set theory and the continuum hypothesis new york dover crossley j et al 1991 what is mathematical logic mineola dover devlin k 1991 the joy of sets fundamentals of contemporary set theory new york springer doxiadis a et al 2009 logicomix an epic search for truth bloomsbury publishing plc easwaran k 2007 a cheerful introduction to forcing and the continuum hypothesis http arxiv org abs 0712 2279 fraser z 2006 the law of the subject alain badiou luitzen brouwer and the kripkean analyses of forcing and the heyting calculus http www cosmosandhistory org index php journal article view 30 goldblatt r 2006 topoi the categorial analysis of logic mineola dover hallward p 2003 badiou a subject to truth minneapolis u of minnesota press halmos p 1974 naive set theory new york springer jech t 2004 set theory the third millennium edition revised and expanded new york springer verlag jech t 2008 what is forcing http www ams org notices 200806 tx080600692p pdf kanamori a cohen and set theory bull symbolic logic 13 3 2008 351 78 kunen k 1992 set theory an introduction to independence proofs new york north holland norris c 2009 badiou s being and event london continuum pluth e 2010 badiou a philosophy of the new cambridge polity press potter m 2004 set theory and its philosophy oxford oxford u press smullyan r m fitting 2010 set theory and the continuum problem mineola dover tiles m 1989 the philosophy of set theory mineola dover the london consortium is a multi disciplinary graduate programme in humanities and cultural studies we are a collaboration between five of london s most dynamic cultural and educational institutions the architectural association birkbeck college university of london the institute of contemporary arts the science museum and tate posted in mathematics philosophy tags alain badiou williamson on what philosophy ought to be april 12 2011 leave a comment as something of a follow up to the previous post i just attach some passages from the concluding afterword sermon his word in timothy williamson s the philosophy of philosophy 2007 rather unambiguously titled must do better something of a manifesto for how what analytic philosophy ought to be i have mixed feelings and undeveloped thoughts concerns about this vision of philosophy but i just don t have time to comment right now still it s pretty provoking material by itself and quite nicely written more than just methodology it s a matter of philosophical ethics i only indulged in highlighting some key passages much contemporary analytic philosophy seems to be written in the tacit hope of discursively muddling through uncontrolled by any clear methodological constraints that may be enough for easy questions if there are any in philosophy it is manifestly inadequate for resolving the hard questions with which most philosophers like to engage all too often it produces only eddies in academic fashion without any advance in our understanding of the subject matter although we can make progress in philosophy we cannot expect to do so when we are not working at the highest available level of intellectual discipline that level is not achieved by effortless superiority it requires a conscious collective effort we who classify ourselves as analytic philosophers tend to fall into the assumption that our allegiance automatically grants us meth odological virtue according to the crude stereotypes analytic philosophers use arguments while continental philosophers do not but within the analytic tradition many philosophers use arguments only to the extent that most continental philosophers do some kind of inferential movement is observable but it lacks the clear articulation into premises and conclusion and the explicitness about the form of the inference that much good philosophy achieves again according to the stereotypes analytic philosophers write clearly while continental philosophers do not but much work within the analytic tradition is obscure even when it is written in everyday words short sentences and a relaxed open air spirit because the structure of its claims is fudged where it really matters 286 how can we do better we can make a useful start by getting the simple things right much even of analytic philosophy moves too fast in its haste to reach the sexy bits details are not given the care they deserve crucial claims are vaguely stated signifi cantly different formulations are treated as though they were equivalent examples are under described arguments are gestured at rather than properly made their form is left unexplained and so on a few resultant errors easily multiply to send inquiry in completely the wrong direction shoddy work is sometimes masked by pretentiousness allusiveness gnomic concision or winning informality but often there is no special disguise producers and consumers have simply not taken enough trouble to check the details we need the unglamorous virtue of patience to read and write philosophy that is as perspicuously structured as the diffi culty of the subject requires and the austerity to be dissatisfi ed with appealing prose that does not meet those stan dards the fear of boring oneself or one s readers is a great enemy of truth pedantry is a fault on the right side 288 precision is often regarded as a hyper cautious characteristic it is importantly the opposite vague statements are the hardest to convict of error obscurity is the oracle s self defense to be precise is to make it as easy as possible for others to prove one wrong that is what requires courage but the community can lower the cost of precision by keeping in mind that precise errors often do more than vague truths for scientifi c progress 289 rigor and depth both matter but while the continual deliberate pursuit of rigor is a good way of achieving it the continual deliberate pursuit of depth as of happiness is far more likely to be self defeating better to concentrate on trying to say something true and leave depth to look after itself nor are rigor and precision enemies of the imagination any more than they are in mathematics rather they increase the demands on the imagination not least by forcing one to imagine examples with exactly the right structure to challenge a generalization cloudiness will not suffice they make imagination consequential in a way in which it is not in their absence the most rigorous and precise discussion often involves the most playfulness and laughter toying with subtly different combinations of ideas yields surprising scenarios humorless solemnity masks sloppiness and confusio n 289 when law and order break down the result is not freedom or anarchy but the capricious tyranny of petty feuding warlords similarly the unclarity of constraints in philosophy leads to authoritarianism whether an argument is widely accepted depends not on publicly accessible criteria that we can all apply for ourselves but on the say so of charismatic authority figures pupils cannot become autonomous from their teachers because they cannot securely learn the standards by which their teachers judge a modicum of willful unpredictability in the application of standards is a good policy for a professor who does not want his students to gain too much independence 290 posted in philosophy tags analytic philosophy on continental stereotypes april 8 2011 leave a comment hans johann glock s what is analytic philosophy is a thorough widely researched meta philosophical survey of the historical origins doctrinal developments current state and possible future permutations of analytic philosophy a term that glock uses always with caution arguing that it is neither a geographical nor a linguistic category and that analytic philosophy should be explained in terms of family resemblances what holds analytic philosophers together is not a single set of necessary and sufficient conditions but a thread of overlapping similarities doctrinal methodological and stylistic careful in not taking for granted any definition glock however argues that the analytic continental distinction colours philosophical perception even among those who do not regard it as absolute more generally there is no gainsaying the fact that the idea of a distinct analytic philosophy continues to shape the institutionalpractice of philosophy whether it be through distinct journals societies job advertisements or institutes indeed the book is especially good when it comes to give an account of the dynamics of the split between the two traditions from within the german speaking world essentially arguing that analytic philosophy is as geographically continental as its continental cousin both in its historical origins and in its present state and when very clear headedly criticizing analytic philosophers themselves for failing to recognize the existence of high profile analytic philosophers working in non anglophone countries being glock german himself he writes on the basis of my reasonably well developed acquaintance with the various sides of these linguistic and philosophical divides i entirely acceptthat the analytic emperor does have clothes and although many of its original sources were germanophone the bulk of its contributions to philosophical understanding have come from anglophones this is no excuse however for the notable failure of many analyticphilosophers to pay due attention to figures and ideas that hail from beyond their philosophical their linguistic or their national horizons the exclusionary demeanour of the anglophone mainstre...
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