Misc - study theoretical philosophy
5. Semester:
Math:
4h Anal5: Intro Intro to Stochastic, Functional Analysis, Chaotic systems
Stochastic (1/3 ); Functional Analysis und Variationsrechnung (see Banachr.), die oo-dim Fkt.raeume/ Hilbertraum; wichtige Integralgleichungen (1/3); mathematic of chaotic nonlinear systems, Atractors, Fraktale, "Poincare-Schnitt und -Abbildung"+ philosophical implications, ...(1/3)
1h Tut: examples
Inform:
2h Inform5: 'Knowledge' Algorithms
Neural networks, oo-valued logic i.e. Fuzzy Logic Alg., Genetic Alg., Baysean [plus ggf. one of: GameTH Alg, Machine Learning, Heuristic search, Unscharfes Wissen, ...TBD by Lecturer..]
1h Tutorial: examples, tests
1h LAB: pract examples for pract Inf. (SQL,...1/3) + Programing Proof engines
Nat sciences:
4h Phys 5: Quantum mechanics:
Zustandsvektoren, Operatoren, Eigenwerte, Teilchen im Zentralfeld, einfache Stoerungsth., rel. Effekte, MehrteilchenSyst., Uebergange..., ggf. Streuth., [Intro TH der Molekuele], 1Dim Lsg.bsp.: Harmon Osz., Radioakt.; gebundene Zustaende und verborgene Symetrien; Quantisierung des Drehimpulses; ununterscheidbare Teilchen->Effekte
2h TH Physics2: Class. El.dyn.
Plattenkondensator, static elmag. Field, Dipol, magn. induction, Maxwelleq., Schwingkreis(gedaempft), Green Func solve by Four.TFM (see Math4), elmag. waves; Eich-THs; relat. reformulation of el.dyn.
2h Tut.: examples for both
1h LAB: Atomic physics experimentals
2h Biology2: The foundations of evolving multicellular organisms and neurobiology
from cell- to multi-cellular biology (Metazoa): von Gruenalgen zu mehrzelligen Tieren, allg. Unterschiede zu Einzellern, Diversifizierung von Zellen, Zelltod bei Mehrzellern, das Kambrium, eine kurze Geschichte der Mehrzeller, grundlegende Funktionale Bausteine heutiger (Saeuge-)Tiere..; high-level Evol. Stammbaum (1/4); electro-chemistry, Ionenkanaele und Potentiale, Signalausbreitung, Neurons, Axons, from simple biol. sensors and actors to complex (von Geisseln,... bis Geparden, vom Molch zum menschl. Auge) and to nervous system dynamics, Bsp der NeuroBiol. der Vertebraten; Entwicklung des Nervensystems und Reparatur ...
1h Tut.: test examples from sem.4 cell. biol. then the rest from here
2h LAB: Microbiology and cell biol. Exp. as (Miller Experiment, fermentation,...) + Bacteria,..Cellular Exp.
Philo:
2h ProSeminar4: Modern Philos. (from Philo4)
Einzel/Gruppen-referate
2h Vorl/Lect:To some topics/author from Philo, free choosable
2h Logic4: Modern logics
(~after 1960) till recent/actual streams in logics sc. Intro to non truth funct. logics (Ultrafilter), contrafactual and paraconsistent logics (latin school, relevant logic), discourse logics,..; links to Logics in IT: description logics (decidable FOL used in KBs), ... till standards today CG, RDF, KIF.
1h Tut: test examples
Total: 30 h/week
6. Semester:
Math:
2h Anal6: Analytical geometry + Intro to Number TH
Analytical (non-/)Euclidian Geometry/Differntialgeometrie (fuer allg RelTH); then Intro to ZahlenTH (Arten: elementary, analytical, algebr. algor. and intro), ..(1/3)
2h MathLogic3: Alternative Math-Logics
Math. proving with Gentzen, the Gentzen sys of nat. deduction in Math (followup Logic3), cut elimination problems; further relevant aspects from topology (see Anal5) for/and Intro to Mereology; Intuit. mathmatics approaches.. to the actual status of math Logic (which axiomatization system covers what of "practical math"?: std ZF,..); Algs and techniques..; the Arithmetical_hierarchy of Kleene
1h Tutorial: test examples
1h Mat-lab: Practical Numerical Math applications
Practical comput. application of simple algs. to simulate examples from functions, Potentialtoepfe, approximation/interpolation, alg. (spline func)...till simulation of chaot. systems (and "Mathematica" lang.), attractors (and fractals); new algebraic programs (for physics): REDUCE, ...
Inform.:
2h Informatics6: NLP
Linguistic basics (Syntax und Semantik, Phonologie und Morpholgie nur streifen), categorical gram., HDrPhrSGr,...;Lambeck Calc., Montague Semant.,...; natural language processing THs and methods (tokenizer, parser: morph, synt, stemming, feature gram., statistical, sematical+ Algors), from corpora till tagging to Knowledge Bases and actual Interface STDs (semantic web, OWL); ...till Ontology extraction methods; (the path can be made along excerpts from NLTK Docu [from 2008])
//2h is not enough but we have 2h LAB next Sem. therefore
1h Tut.: examples tests
1h LAB: Design/Programming tasks of NNetw., GenAlg. and Fuzzy logics,... from Sem. 5
2h Intermediate level "SW-Project/Semesterarbeit":
own/group SW project with practical SW Archit., Design, Programming and testing efforts (on some Task from accompanying lector)
nat Sciences:
4h Phys6: Atomic Cores + Astronomy/Cosmology
Kernphysik (1/3) mit Proton-Neutron-Positron-Neutrino...Isotope, Radioaktivitaeten, Zerfallsreihen, Messinstrumente (von Nebelkammer bis Beschleunigertypen), Kernschwingungen, Wirkungsquerschnitte, StreuTH., Entdeckung neuer ElemtarTeilchen, Bosonen, Fermionen, Hadronen,... +
Koord.systeme, Abweichungen, Intro to measuring practices, base terms and findings, Kepler, our planet sys., our galaxy, TH of solar evolutions, star classes, far objects, Expansionsmodelle und warum Dunkelmaterie, Hintergrundrauschen, BigBang and similar THs
2h: TH Physics3: ThermoDyn, Statistical Mechanics, Statistical Q.Mech
ThDyn: Hauptsaetze, Ideales Gas -vander Waals Gas, id. Paramagnet, VolArbeit, Adiabat/Isobar, Carnot-Proc, Entropie, irrev. Mischprozesse, Phasenuebergang+ classical stat. mech. + Intro to statistical Qmechanics: Quantenstatistik, ideale Quantengase, Bose-Einstein-Kond. (all ~1/3)
2h Tut.: test examples
2h Biology3: Intro in the Biology of the (human) brain
Detailaufabu des Rueckenmarks und Cortex des HomoSap., Neurol. maps, disfunctions(after accidents), (non-)invasive exper. methods, Gammawellen (bei Erkenntnisvorgaengen), Kernspin und mathematische Modelle, ..till current experimental results
1h Tut: test, examples to Sem5 stuff
1h BioChem Praktikum: 3 Higher level BioChem Experiments (mind. 1 Exp. also to multicellular-neuro-biology from Sem5)
Philo:
2h Vorl HistOfScience2: Topic(s) from Modern Hist of science (>1900)
curr hot discussed phil. topics from diff areas of science of last ~40 years, Interdisziplinaere Themen, THs die nicht im Curriculum abgedeckt werden; neue Methoden u Paradigma; IT in Science, ...(TBD by Lector)
2h Seminar1(Interprt.): text work on complete important book, interpretation like Tractatus or KdrV from Kant or ..(might also be connected to rehersal from Sem5 but must not...), plus secondary lit.
Total:
28h + 2 h free choosable
7. Semester:
2h Interdisciplinary Lecture: 'Communication THs Intro'
- Inform: C.S. Shannon 'redundancy in speech...', Kybernetics, www distributed Agents(modal logic simul.)/Knowbots, Veins TH (NLP), ...
- Philo: Semiotics[Philo/Ling], Anal. Phil.: JL.Austin, ...
- Phys/Biol: Accustics, biol. foundations of lang. (Lit: Lenneberg), animal communication processes: bees, dolphins,...
- mathematic models in bio/linguistics ..which are there?..
//Ringvorlesung mit Disussion mit jedem Thema 1-2 Vorlesungen
Math:
2h Math(/-Logic) Seminar1:
follow-up of an introduced topic like Rings II or Groups III or ax. Set TH II or...(TBD by Lector ) or new Topic like Alg.5: new Numbers as: Hyperrationale Zahlen, Hamilton-Zahlen oder Cayley-Zahlen, surreale Zahlen, 'Games', ..
2h Math Semesterarbeit: time for work into some spec field of Arit/Alg or Math Logic and demonstrate some results (try alternative deduction of a Lemmas, theorems,...)..
Inform.:
2h Inform.7: AI and Knowledge Bases
Hist of KBs (for Philosophy and science), Findings, base problems, used logics and frames (Episto., ...), Knowl.Repres., "KnowledgeBases" and Metadata repositories, ISO1197, algs. used (NN, NLP,..) when?, KIF/CGs/(RanDom), Philo/science relevance and targets, Consistency enforcement of inkons. THs, act. examples and proceedings (if !), ...
//practical construction+programming in LAB Sem8 in Philo
2h Seminar1: TBD by Lector (like Intro to Bioinformatics, new: Math Models Processing of Gehirnstroeme-Mustererkennung, ...)
2h LAB: nat lang processing programming (from 6. Sem)
Nat Sciences:
4h Phys7: general TH of Relat. + Quantum-elektro dynamics and QChromodyn.
Intro to "Allg." relat. TH: Math Darstellung, Vorhersagen, astronomische Bestaetigungen, ... (~1/4) +
Vierervektoren, Streumatrizen, Symetrien, Helizitaet, Feynman Diagramme, Quantenelektordynamik, (1/4) + Qchromo dyn. (Quarks), Paritaetsverletzung, starke, schwache WW, QED+QCD, spontane Symetriebrechung, bis StdModell und Higgs Boson (1/2)
1h 'Praktikum': Higher experimental physics ( 2-3 experiments, training with build self all from the start: QOptics like optical to EPR Paradox..bis auf 10km...:-), ...) and experimental Astro. excursion 3 days...
2h Biophysics: Introduction in NN physics and historical geophysical presumtpions of live
Neuronale Netze in der Biologie, Simulation ex Verhaltens (1/2); general (possible), Geophysical/Atmosphaeric presumptions for evolving live, Phasen des Praekambriums, extrateristical live THs (or silicon based,...); computer modeling.
1h Tut1: Biophysics and Cosmology examples, discussions
2h Bio4 : Evolution theorie(s) and theoretical Biology
THs of Evolution - Species ClassificationTHs (wie Kladistik, s. wiki) and Theoretical Biology: Std Evol TH, Epigenetic/Lamark vs Darwin; THs of live (biological automata TH according to Maturana/Varela and math models), Analytical Ontology application to Biol. ..
1h Bio Seminar1: examples tests demos reading to curr. lectures
Philo:
2h Seminar2(Interpt.2): New or follow up TextInterpretation HSem as in/see Sem 6
2h HSeminar1: reading and discussion of texts (in case from rehearsal from Sem6...) or spec. area/school in philo
Total: 26h + 4h free choosable lect/sem. - or 2h tutorial prep for a Sem1-4 instr. course for next term for some 2h lecture/sem in this Sem7
Semester 8:
//specialization phase + focus on/preparing magister/diploma work
Math:
2h HSeminar: Algebra/Analysis/MathLogic
Special (actual) math area like some possibilities are
- Alg.: zB. mehr zu Banachraeumen,...
- Anal: ...(TBD by Lector )
- special/adv. topics in MathLog. like advanced Prooftheory (followup of Proof TH from Inform4.) or Computational logic: Dynamic logic; Computational Equational Logic (term rewriting); Adaptive Logics,...
- Als Philo Thema: Determinismus in der Mathematik u Natur Arith/Philo Problems...
Inform:
2h HSeminar:
- problems or examples of (algor.) problems in Informatics (like unification TH, typed Lamda calculus,..)
- Intro to some actual hot science (more TBD by Lector)
- Biol. computermodelling- and simulations approaches..), theoretische Regelungstechnik (PID-Regler, z-TFM, Anwendung auf Modellierung biologische Regelsysteme)
Nat Science:
2h HSeminar Phys.1:Intro to relativistical QuantenfeldTH
how to fit QTH and allg. RelTH ?...; unified Standard model(s) as String TH,...; axiomatische QFT
...oder alternativ (TDB by Lector): zB. Molekuelphysik, TH QMech2, ...
2h Seminar Phys:
some adv topic, [or new Intro (like mass body physics) ] QM2, or Grav. waves TH, or...(TBD by Lector ), Probleme mit der Zeit als Eigenwert eines Operators: 'Observable Zeit'?
4h "(Experimental praktikum)-Semesterarbeit":
from some area Phys-Chem-Biol under given topic by a choosen lecturer...: do near real exp. nat science, or create new experimental aparatus for alternatively proove some results, or ..
2h HSeminar Biol-/Chem: some (more) adv topic like:
- intro to Physical organic chemistry, dissipative system theory (Prigogine), Non-equilibrium thermodynamics, "the Schrödinger paradox.", wandering sets,..
- ...
//- in case of BioChem Focus: 4h Lect/HSem to spec topic...instead of Physics
Philo:
2h HSeminar2: TBD by lector and/or ...
2h HSeminar3: text work on current book/actual scientific article(s) interpret./discussion of topics like from:
a) Bio: abstract THs of live, BrainModels with Informatics, followup on Biological and Geophysical/chemical early history on earth (how did live evolve ? the actual theories, Modelling...see Inform.)
b) Phys: Philo Problems in QT/Mech, Philo Problems in String TH, Problems with relativity TH,
c) PhiloLogic: Philo Problems with many valued logics, or....
d) Philo Infor: Philo problems in computation and proof Th or ...
e) Philo nat scinece: Problems in TH Philosophy of science, ...
f) Philo+(foundations of logical or higher ) Math: work on 2 choosen examples...
g) plain Philo...
h) free TH Philo...
//meant as prep. for the final Exam-work; the seminars should be grouped to simillar topics for a few people...
2h LAB (!): Philo-KB design/programming - on some given topics by Lecturor...(from Inform.7)
Total: max.18h
6 h: plus free choosable: courses/rehersals/proseminar/specializations/LABs
+ Rest self study ... :-)
Sem 9:
2 h Mag.-seminar: examples, discussions, current results or problems, questions
2 h Free Lecture
Rest: Diploma work
//the links to literature to every subject are removed for now here...
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