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Tools and the Mind
8.3120
Dozenten
Beschreibung
Prerequisites: The course has no prerequisite.
Content: Toolmaking is said to distinguish humans from other animals. In this seminar we will look at tools from various perspectives: evolutionary/phylogenetic, comparative, ontogenetic, and neuro-cognitive.
The evolution of the hand and brain in concert with (precursors of) language facilitated the origins of tool use in the Paleolithic (Oldowan Industrial complex (2.6 – 1.7 mya) and Acheulean Industrial Complex (after 1.7 mya)). Manufacturing tools and using them is driven by and has driven mental representations that are hierarchical and often recursive.
Many animals use tools, e.g., chimpanzees use twigs to fish for ants or rooks can bend wire into a hook shape to retrieve objects. We will look at tool innovation, manufacture, and use in apes, mammals, and big-brained birds.
Tool-related behaviors engage particular areas in the brain in humans, among them the left-inferior parietal cortex, presumably for storing manipulation knowledge and/or reasoning about physical object properties. An integrative neuropsychological framework formalizes tool use activities understood as multiple problem situations in which four kinds of constraints hold: mechanics, space, time, and effort (Osiurak).
Tools are interface devices and function as extensions of the (motor abilities of the) body. They are integrated into the body schema such that the user and their tool not only form a functional but also a bodily unit.
Children start using tools early on, however, it takes surprisingly long until they can innovate a tool, e.g., bend a pipe-cleaner into a hook shape in order to retrieve a bucket from a tall jar. Only 6-8-year-old children can do this reliably. Younger children benefit from seeing the ready-made tool (the hook) or being demonstrated the bending of the pipe-cleaner. Thus, social mechanisms – social learning and imitation – play an important role in the development of tool-related behaviors.
Weitere Angaben
Ort: 35/E22
Zeiten: Di. 13:00 - 16:00 (wöchentlich)
Erster Termin: Dienstag, 17.10.2023 13:00 - 16:00, Ort: 35/E22
Veranstaltungsart: Seminar (Offizielle Lehrveranstaltungen)
Studienbereiche
- Cognitive Science > Bachelor-Programm
- Cognitive Science > Master-Programm
Research Areas:
Algebraic geometry 14-XX
K-theory 19-XX
Algebraic topology 55-XX
Publications:
- Cellularity of hermitian K-theory and Witt-theory (with Markus Spitzweck and Paul Arne Østvær)
- On the η-inverted sphere. K-Theory-Proceedings of the International Colloquium
- Gigantic random simplicial complexes Link (with Jens Grygierek, Martina Juhnke-Kubitzke, Matthias Reitzner and Tim Römer)
- On very effective hermitian K-theory Link (with Alexey Ananyevskiy and Paul Arne Østvær)
- The first stable homotopy groups of motivic spheres DOI (with Markus Spitzweck and Paul Arne Østvær)
- Vanishing in stable motivic homotopy sheaves (with Kyle Ormsby and Paul Arne Østvær) Link
- The multiplicative structure on the graded slices of hermitian K-theory and Witt-theory (with Paul Arne Østvær) Link
- Slices of hermitian K–theory and Milnor's conjecture on quadratic forms (with Paul Arne Østvær) Link
- Calculus of functors and model categories, II (with Georg Biedermann) Link
- The Arone-Goodwillie spectral sequence for Σ∞Ωn and topological realization at odd primes (with Sebastian Buescher, Fabian Hebestreit und Manfred Stelzer) Link
- Motivic slices and coloured operads (with Javier Gutierrez, Markus Spitzweck and Paul Arne Østvær) Link
- Motivic strict ring models for K-theory (with Markus Spitzweck and Paul Arne Østvær) PDF
- Theta characteristics and stable homotopy types of curves DOI
- A universality theorem for Voevodsky's algebraic cobordism spectrum (with Ivan Panin and Konstantin Pimenov) Link
- On the relation of Voevodsky's algebraic cobordism to Quillen's K-theory DOI (with Ivan Panin and Konstantin Pimenov)
- On Voevodsky's algebraic K-theory spectrum BGL (with Ivan Panin and Konstantin Pimenov)
- Rigidity in motivic homotopy theory DOI (with Paul Arne Østvær)
- Calculus of functors and model categories DOI (with Georg Biedermann and Boris Chorny)
- Motivic Homotopy Theory Link (with B.I.Dundas, M.Levine, P.A.Østvær and V.Voevodsky)
- Motives and modules over motivic cohomology Link (with Paul Arne Østvær)
- Modules over motivic cohomology DOI (with Paul Arne Østvær)
- Enriched functors and stable homotopy theory Link (with Bjørn Ian Dundas and Paul Arne Østvær)
- Motivic functors Link (with Bjørn Ian Dundas and Paul Arne Østvær)
Preprints and Talks:
Projekte
- DFG-Sachbeihilfe "Algebraic bordism spectra: Computations, filtrations, applications" (DFG-RSF-Antrag mit Alexey Ananyevskiy)
- DFG-Sachbeihilfe "Applying motivic filtrations" (mit Marc Levine und Markus Spitzweck) im DFG Schwerpunktprogramm 1786
- DFG-Sachbeihilfe "Operads in algebraic geometry and their realizations" (mit Jens Hornbostel,
Markus Spitzweck und Manfred Stelzer) im DFG Schwerpunktprogramm 1786 - DFG Sachbeihilfe ``Operad structures in motivic homotopy theory'' im DFG Schwerpunktprogramm 1786 ``Homotopy theory and algebraic geometry'' (mit Markus Spitzweck)
- DFG Sachbeihilfe ``Motivic filtrations over Dedekind domains'' im DFG Schwerpunktprogramm 1786 ``Homotopy theory and algebraic geometry'' (mit Marc Levine und Markus Spitzweck)
- DFG Graduiertenkolleg 1916 ``Combinatorial structures in geometry''
- DFG Sachbeihilfe ``Goodwillie towers, realizations, and En-structures''
- Graduiertenkolleg ``Combinatorial structures in algebra and topology'' (mit H. Brenner, W. Bruns, T. Römer und R. Vogt)
- DFG Sachbeihilfe ``Combinatorial structures in algebra and topology'' (mit H. Brenner, W. Bruns, T. Römer und R. Vogt)
Supervision
PhD
Philip Herrmann: Stable equivariant motivic homotopy theory and motivic Borel cohomology, 2012
Florian Strunk: On motivic spherical bundles, 2013
Master/Diplom
Markus Severitt: Motivic Homotopy Types of Projective Curves, 2006 PDF
Philip Herrmann: Ein Modell für die motivische Homotopiekategorie, 2009
Florian Strunk: Ein Modell für motivische Kohomologie, 2009
Sebastian Büscher: Anwendung der F2-kohomologischen Goodwillie-Spektralsequenz für iterierte Schleifenraeume, 2010
Fabian Hebestreit: On topological realization at odd primes, 2010
Katharina Lorenz: Darstellung unterschiedlicher mathematischer Rekonstruktionen von Größen, 2012
Jana Brickwedde: Fehlvorstellungen zum Grenzwertbegriff, 2015
Lena-Christin Müller: Penrose-Parkettierungen und ihre Eigenschaften, 2015
Larissa Bauland: Der Satz von Seifert-van Kampen und einige seiner Anwendungen, 2018
Nikolaus Krause: Eine algebraische Einfuehrung in die Milnor-Witt K-Theorie, 2019
Bachelor
Ein Spezialfall des letzten Satzes von Fermat, 2010
Transzendente Zahlen, 2010
Zur Gruppe des Rubik-Wuerfels, 2011
Einige Betrachtungen zum letzten Satz von Fermat, 2012
Die Involution auf algebraischer K-Theorie, 2012
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Platonische und Archimedische Körper, 2012
Klassifikation regulärer Polyeder, 2013
Grundbegriffe der Trigonometrie und ihrer Umsetzung in der gymnasialen Sekundarstufe I, 2014
Die Riemann’sche Zetafunktion und der Primzahlsatz, 2014
Konstruktion der klassischen Zahlbereiche, 2014
Eigenschaften und spezielle Werte der Riemann'schen Zetafunktion, 2015
Das quadratische Reziprozitätsgesetz und dessen Bedeutung in der Kryptographie, 2015
Graphen färben, 2015
Klassifikation und Visualisierung von Koniken, 2016
Konstruktion von Polygonen mit einem einzigen Schnitt, 2016
Parkettierungen der Ebene durch kongruente konvexe Fuenfecke, 2019
Die klassischen Hopf-Faserbuendel und einige ihrer Eigenschaften, 2019
Einige Anmerkungen mathematischer und historischer Natur zu Fermats Letztem Satz, 2019