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@article{Sati,
doi = {10.1063/1.5007185},
url = {https://doi.org/10.1063%2F1.5007185},
year = 2018,
month = {6},
publisher = {{AIP} Publishing},
volume = {59},
number = {6},
pages = {062304},
author = {Hisham Sati},
title = {Framed M-branes, corners, and topological invariants},
journal = {Journal of Mathematical Physics}
}
@misc{Sol,
title = {Wissenschaft der Logik},
author = {Georg Wilhelm Friedrich Hegel},
year = {1813},
Note = {Ausgabe B},
}
@online{nlabsol,
title = "Science of Logic",
url = "https://ncatlab.org/nlab/show/Science+of+Logic",
}
@online{nlabie,
title = "Intensive or extensive quantity",
url = "https://ncatlab.org/nlab/show/intensive+or+extensive+quantity",
}
@online{Nlabintegral,
title = "Integration+of+differential+forms",
url = "https://ncatlab.org/nlab/show/integration+of+differential+forms#InCohesiveHomotopyTypeTheory",
}
@article{Lawvere92,
author = {F. William Lawvere},
editor = {Javier Echeverria and Andoni Ibarra and Thomas Mormann},
doi = {doi:10.1515/9783110870299.14},
url = {https://doi.org/10.1515/9783110870299.14},
title = {Categories of Space and of Quantity},
booktitle = {The Space of Mathematics: Philosophical, Epistemological, and Historical Explorations},
year = {2012},
publisher = {De Gruyter},
pages = {14--30},
lastchecked = {2022-05-25}
}
@article{Law96,
author = {F. William Lawvere},
doi = {10.1007/BF00122250},
url = {https://doi.org/10.1007/BF00122250},
title = {Unity and identity of opposites in calculus and physics},
journal = {Applied Categorical Structures},
}
@misc{dcct,
title = {Differential Cohomology in a cohesive Topos},
author = {Urs Schreiber},
url = {https://ncatlab.org/schreiber/files/dcct170811.pdf}
}
Cohesive Toposes – Combinatorial and Infinitesimal Cases
@misc{Coh,
title = {Cohesive Toposes – Combinatorial and Infinitesimal Cases},
author = {F. William Lawvere},
url = {https://github.com/mattearnshaw/lawvere/blob/master/pdfs/2008-cohesive-toposes-combinatorial-and-infinitesimal-cases.pdf},
year = {2008},
}
@book{Sketches,
title = {Sketches of an Elephant},
author = {Peter J. Johnstone},
year = {2002},
publisher = {Oxford University Press},
isbn = {0198534256},
}
@InProceedings{Law91,
author="F. William Lawvere",
editor="Carboni, Aurelio
and Pedicchio, Maria Cristina
and Rosolini, Guiseppe",
title="Some thoughts on the future of category theory",
booktitle="Category Theory",
year="1991",
publisher="Springer Berlin Heidelberg",
address="Berlin, Heidelberg",
pages="1--13",
isbn="978-3-540-46435-8"
}
@article{Loef96,
journal = {Nordic Journal of Philosophical Logic},
pages = {11--60},
year = {1996},
volume = {1},
title = {On the Meanings of the Logical Constants and the Justifications of the Logical Laws},
number = {1},
author = {Per Martin{-}L\"{o}f},
publisher = {Scandinavian University Press}
}
@misc{Grass,
title = {Die Wissenschaft der extensiven Grössen oder die Ausdehnungslehre},
author = {Hermann Grassmann},
year = {1844},
url = {https://www.deutschestextarchiv.de/book/show/grassmann_ausdehnungslehre_1844}
}
@InProceedings{Shu,
author="Daniel R. Licata, Michael Shulman",
editor="Artemov, Sergei
and Nerode, Anil",
title="Adjoint Logic with a 2-Category of Modes",
booktitle="Logical Foundations of Computer Science",
year="2016",
publisher="Springer International Publishing",
address="Cham",
pages="219--235",
isbn="978-3-319-27683-0"
}
@misc{Lein,
title={Basic Category Theory},
author={Tom Leinster},
year={2016},
eprint={1612.09375},
archivePrefix={arXiv},
primaryClass={math.CT}
}
@book{CPhil,
title = {Categories for the Working Philosopher},
author = {Elaine Landry},
year = {2017},
publisher = {Oxford Scholarship Online},
isbn = {9780198748991},
doi = {9780198748991.001.0001}
}
@misc{Russ,
title = {A history of western philosophy},
author = {Bertrand Russell},
year = {1967},
publisher = {Simon and Schuster}
}
@misc{SSS,
doi = {10.48550/ARXIV.2103.01877},
url = {https://arxiv.org/abs/2103.01877},
author = {Sati, Hisham and Schreiber, Urs},
keywords = {High Energy Physics - Theory (hep-th), Mathematical Physics (math-ph), Algebraic Topology (math.AT), Geometric Topology (math.GT), FOS: Physical sciences, FOS: Physical sciences, FOS: Mathematics, FOS: Mathematics},
title = {M/F-Theory as Mf-Theory},
publisher = {arXiv},
year = {2021},
copyright = {arXiv.org perpetual, non-exclusive license}
}
@misc{vH,
title = {Unvollkommenes Gedicht über die Ewigkeit},
author = {Albrecht von Haller},
year = {1732},
book = {Versuch Schweizerischer Gedichte},
}
@article{Ad03,
author = {Awodey, Steve},
year = {2004},
month = {02},
pages = {54-64},
title = {An Answer to Hellman's Question: 'Does Category Theory Provide a Framework for Mathematical Structuralism?'},
volume = {12},
journal = {Philosophia Mathematica},
doi = {10.1093/philmat/12.1.54}
}
@misc{SQuant,
doi = {10.48550/ARXIV.1402.7041},
url = {https://arxiv.org/abs/1402.7041},
author = {Schreiber, Urs},
keywords = {Mathematical Physics (math-ph), High Energy Physics - Theory (hep-th), Algebraic Topology (math.AT), Logic (math.LO), FOS: Physical sciences, FOS: Physical sciences, FOS: Mathematics, FOS: Mathematics, 03-06, 18F99, 19-06, 55-02, 81-02},
title = {Quantization via Linear homotopy types},
publisher = {arXiv},
year = {2014},
copyright = {arXiv.org perpetual, non-exclusive license}
}
@misc{SSOrb,
doi = {10.48550/ARXIV.2008.01101},
url = {https://arxiv.org/abs/2008.01101},
author = {Sati, Hisham and Schreiber, Urs},
keywords = {Algebraic Topology (math.AT), High Energy Physics - Theory (hep-th), Differential Geometry (math.DG), Geometric Topology (math.GT), FOS: Mathematics, FOS: Mathematics, FOS: Physical sciences, FOS: Physical sciences},
title = {Proper Orbifold Cohomology},
publisher = {arXiv},
year = {2020},
copyright = {arXiv.org perpetual, non-exclusive license}
}
@misc{Stalk,
title = {Modern Physics formalized in Modal Homotopy Type Theory},
author = {Schreiber, Urs},
Note = {expanded notes for a talk at \emph{FOMUS – Foundations of Mathematics}},
year = {2016}
}
@article{SSh,
doi = {10.4204/eptcs.158.8},
url = {https://doi.org/10.4204%2Feptcs.158.8},
year = 2014,
month = {7},
publisher = {Open Publishing Association},
volume = {158},
pages = {109--126},
author = {Urs Schreiber and Michael Shulman},
title = {Quantum Gauge Field Theory in Cohesive Homotopy Type Theory},
journal = {Electronic Proceedings in Theoretical Computer Science}
}
@book{Cor,
title = {Modal homotopy type theory},
author = {David Corfield},
year = {2020},
publisher = {Oxford Scholarship Online},
isbn = {9780198853404},
}
@article{Kli,
ISSN = {00269662},
URL = {http://www.jstor.org/stable/27901536},
author = {George L. Kline},
journal = {The Monist},
number = {1},
pages = {34--75},
publisher = {Oxford University Press},
title = {Some recent reinterpretations of Hegel's philosophy},
urldate = {2022-05-30},
volume = {48},
year = {1964}
}
@book{Htt,
title = {Simplicial Homotopy Theory},
author = {Paul G. Goerss, John F. Jardine},
year = {1999},
publisher = {Birkhäuser Basel},
isbn = {978-3-0348-8707-6},
doi = {978-3-0348-8707-6},
}
@Book{hott,
author = {The {Univalent Foundations Program}},
title = {Homotopy Type Theory: Univalent Foundations of Mathematics},
publisher = {\url{https://homotopytypetheory.org/book}},
address = {Institute for Advanced Study},
year = 2013}
@book{Law82,
title = {Categories in Continuum Physics},
author = {F. William Lawvere, Stephen H. Schanuel},
year = {1986},
publisher = {Springer Berlin},
isbn = {978-3-540-16096-0},
series = {Lecture Notes in Mathematics},
doi = {BFb0076928},
}
Hegel, Georg Wilhelm Friedrich. Encyclopädie Der Philosophischen Wissenschaften Im Grundrisse. Heidelberg: Oßwald, 1827. Print.
@book{EoS,
title = {Encyclopaedie Der Philosophischen Wissenschaften Im Grundrisse},
author = {Georg Wilhelm Friedrich Hegel},
year = {1987},
}
@misc{Shuhott,
doi = {10.48550/ARXIV.1703.03007},
url = {https://arxiv.org/abs/1703.03007},
author = {Shulman, Michael},
keywords = {Category Theory (math.CT), Logic (math.LO), FOS: Mathematics, FOS: Mathematics},
title = {Homotopy type theory: the logic of space},
publisher = {arXiv},
year = {2017},
copyright = {arXiv.org perpetual, non-exclusive license}
}
@book{Fichte,
title = {Grundlage der gesammten Wissenschaftslehre},
author = {Johann Gottlieb Fichte},
year = {1794},
}