Quantifier-free axioms for constructive plane geometry

Nancy Moler; Patrick Suppes

Compositio Mathematica (1968)

  • Volume: 20, page 143-152
  • ISSN: 0010-437X

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Moler, Nancy, and Suppes, Patrick. "Quantifier-free axioms for constructive plane geometry." Compositio Mathematica 20 (1968): 143-152. <http://eudml.org/doc/88974>.

@article{Moler1968,
author = {Moler, Nancy, Suppes, Patrick},
journal = {Compositio Mathematica},
keywords = {foundations of geometry},
language = {eng},
pages = {143-152},
publisher = {Wolters-Noordhoff Publishing},
title = {Quantifier-free axioms for constructive plane geometry},
url = {http://eudml.org/doc/88974},
volume = {20},
year = {1968},
}

TY - JOUR
AU - Moler, Nancy
AU - Suppes, Patrick
TI - Quantifier-free axioms for constructive plane geometry
JO - Compositio Mathematica
PY - 1968
PB - Wolters-Noordhoff Publishing
VL - 20
SP - 143
EP - 152
LA - eng
KW - foundations of geometry
UR - http://eudml.org/doc/88974
ER -

References

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  1. D. HilbertThe Foundations of Geometry. LaSalle, Illinois: Open Court Publishing Co., 1947; reprint edition. MR116216JFM33.0082.10
  2. H.L. RoydenRemarks on primitive notions for elementary Euclidean and non-Euclidean plane gemetry. In L. Henkin, P. Suppes and A. Tarski (Eds.), The Axiomatic Method, With Special Reference to Geometry and Physics. Amsterdam: North-Holland Publishing Co., 1959, pp. 86-96. Zbl0089.16505MR107196
  3. L.W. Szczerba & A. TarskiMetamathematical properties of some affine geometries. Proceedings of the 1964 International Congress for Logic, Methodology and Philosophy of Science. Amsterdam: North-Holland Publishing Co., 1964, pp. 166-178. Zbl0149.38502MR209948
  4. A. TarskiWhat is elementary geometry? In L. Henkin, P. Suppes and A. Tarski (Eds.), The Axiomatic Method, With Special Reference to Geometry and Physics. Amsterdam: North-Holland Publishing Co., 1959, pp. 16 — 29. Zbl0092.38504
  5. O. VeblenA system of axioms for geometry. Transactions of the American Mathematical Society, 1904, 5, pp. 343-384. MR1500678JFM35.0495.02

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