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* Nim sum is XOR.David A. Madore2016-03-231-9/+123
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* Nim sum of ordinals and games.David A. Madore2016-03-231-5/+238
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* Start part on impartial combinatorial games. Also, clearly rename top-level ↵David A. Madore2016-03-231-48/+173
| | | | sections as "parts".
* Add more to index.David A. Madore2016-03-221-2/+2
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* Add index.upload-20160322David A. Madore2016-03-221-113/+125
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* More about the Cantor normal form and binary form of ordinals.David A. Madore2016-03-221-2/+97
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* Hyperref + table of contents.David A. Madore2016-03-211-0/+5
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* More details on Grundy function and Grundy kernel.upload-20160321David A. Madore2016-03-211-37/+86
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* Fix missing clause in definition of Borel sets.David A. Madore2016-03-201-1/+1
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* Product and exponentiation of ordinals.upload-20160314David A. Madore2016-03-141-2/+194
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* Briefly describe the nimber and (surreal) number associated to \alpha.David A. Madore2016-03-141-3/+49
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* Acknowledge the Burali-Forti "paradox".David A. Madore2016-03-141-0/+12
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* Sum of ordinals.David A. Madore2016-03-141-0/+57
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* Successor and limit ordinals.David A. Madore2016-03-141-8/+78
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* Split section on well-founded sets. Upper bounds of ordinals.David A. Madore2016-03-141-3/+37
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* Definition of ordinals.David A. Madore2016-03-141-8/+90
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* More about well-founded and non-well-founded inductions.David A. Madore2016-03-141-20/+113
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* Fix lots of typos (thanks, "Pjetri").David A. Madore2016-03-121-18/+18
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* Well-ordered sets.David A. Madore2016-03-101-9/+213
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* Genies granting ordinal-counted wishes.David A. Madore2016-03-101-0/+39
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* Another point to note about constructing ordinals.David A. Madore2016-03-091-0/+7
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* Intuitive presentation of ordinals.David A. Madore2016-03-091-2/+95
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* Well-founded induction, von Neumann ordinals.David A. Madore2016-03-091-1/+52
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* Mention the terminology "well-ordered".David A. Madore2016-03-091-2/+16
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* More on the intuitive explanation of ordinals: decreasing sequences terminate.David A. Madore2016-03-091-1/+35
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* Start writing an intuitive introduction to ordinals.David A. Madore2016-03-091-0/+134
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* Determinacy of combinatorial games for positional strategies (fairly tedious).upload-20160308David A. Madore2016-03-081-194/+387
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* Various clarifications in wording in the combinatorial-to-Gale-Stewart argument.David A. Madore2016-03-081-36/+48
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* Mention Borel determinacy and beyond.David A. Madore2016-03-071-1/+48
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* Trivial comment.upload-20160307David A. Madore2016-03-071-1/+1
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* Slight reformulation.David A. Madore2016-03-071-11/+11
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* Alternative terminology: "progressively finite" for well-founded.David A. Madore2016-03-071-4/+5
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* The halting game (Turing against Blanche).David A. Madore2016-03-071-0/+48
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* Add disclaimer about provisional status of these notes.upload-20160305David A. Madore2016-03-051-0/+9
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* Minor changes noted during lecture.David A. Madore2016-02-291-13/+24
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* Link zero-sum games and linear programming.David A. Madore2016-02-281-1/+96
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* Another self-note.David A. Madore2016-02-261-0/+7
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* Self-note.David A. Madore2016-02-251-0/+3
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* Remove now redundant pieces.David A. Madore2016-02-251-65/+0
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* Determinacy of perfect information games from Gale-Stewart games.David A. Madore2016-02-251-3/+152
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* Second proof of open determinacy.David A. Madore2016-02-251-6/+93
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* Clarify how we can exchange the players' roles.David A. Madore2016-02-251-96/+148
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* Product topology and open determinacy.David A. Madore2016-02-251-27/+201
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* Prove the essentially trivial proposition about strategies (exists/forall).David A. Madore2016-02-251-1/+58
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* An essentially trivial statement.David A. Madore2016-02-241-6/+44
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* Start a new section on Gale-Stewart games.David A. Madore2016-02-241-5/+70
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* Positional versus historical strategies. Prepare for induction.David A. Madore2016-02-221-33/+150
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* More clarifications on impartial p.i. games (and player naming).David A. Madore2016-02-221-31/+79
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* Rework and describe outline.David A. Madore2016-02-221-36/+72
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* Isolate Brouwer's fixed point theorem.David A. Madore2016-02-221-9/+14
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