id sid tid token lemma pos 8336h130p3c 1 1 the the DET 8336h130p3c 1 2 subject subject NOUN 8336h130p3c 1 3 of of ADP 8336h130p3c 1 4 this this DET 8336h130p3c 1 5 dissertation dissertation NOUN 8336h130p3c 1 6 is be AUX 8336h130p3c 1 7 arithmetical arithmetical ADJ 8336h130p3c 1 8 knowledge knowledge NOUN 8336h130p3c 1 9 and and CCONJ 8336h130p3c 1 10 arithmetical arithmetical ADJ 8336h130p3c 1 11 definability definability NOUN 8336h130p3c 1 12 . . PUNCT 8336h130p3c 2 1 the the DET 8336h130p3c 2 2 first first ADJ 8336h130p3c 2 3 two two NUM 8336h130p3c 2 4 chapters chapter NOUN 8336h130p3c 2 5 contain contain VERB 8336h130p3c 2 6 respectively respectively ADV 8336h130p3c 2 7 a a DET 8336h130p3c 2 8 critique critique NOUN 8336h130p3c 2 9 of of ADP 8336h130p3c 2 10 a a DET 8336h130p3c 2 11 logicist logicist NOUN 8336h130p3c 2 12 account account NOUN 8336h130p3c 2 13 of of ADP 8336h130p3c 2 14 a a DET 8336h130p3c 2 15 preferred preferred ADJ 8336h130p3c 2 16 means mean NOUN 8336h130p3c 2 17 by by ADP 8336h130p3c 2 18 which which PRON 8336h130p3c 2 19 we we PRON 8336h130p3c 2 20 may may AUX 8336h130p3c 2 21 legitimately legitimately ADV 8336h130p3c 2 22 infer infer VERB 8336h130p3c 2 23 to to ADP 8336h130p3c 2 24 arithmetical arithmetical ADJ 8336h130p3c 2 25 truths truth NOUN 8336h130p3c 2 26 and and CCONJ 8336h130p3c 2 27 a a DET 8336h130p3c 2 28 tentative tentative ADJ 8336h130p3c 2 29 defense defense NOUN 8336h130p3c 2 30 of of ADP 8336h130p3c 2 31 an an DET 8336h130p3c 2 32 empiricist empiricist NOUN 8336h130p3c 2 33 account account NOUN 8336h130p3c 2 34 . . PUNCT 8336h130p3c 3 1 according accord VERB 8336h130p3c 3 2 to to ADP 8336h130p3c 3 3 the the DET 8336h130p3c 3 4 logicist logicist PROPN 8336h130p3c 3 5 account account PROPN 8336h130p3c 3 6 , , PUNCT 8336h130p3c 3 7 one one PRON 8336h130p3c 3 8 may may AUX 8336h130p3c 3 9 infer infer VERB 8336h130p3c 3 10 from from ADP 8336h130p3c 3 11 quasi quasi ADJ 8336h130p3c 3 12 - - ADJ 8336h130p3c 3 13 logical logical ADJ 8336h130p3c 3 14 truths truth NOUN 8336h130p3c 3 15 to to ADP 8336h130p3c 3 16 patently patently ADV 8336h130p3c 3 17 arithmetical arithmetical ADJ 8336h130p3c 3 18 truths truth NOUN 8336h130p3c 3 19 because because SCONJ 8336h130p3c 3 20 the the DET 8336h130p3c 3 21 arithmetical arithmetical ADJ 8336h130p3c 3 22 truths truth NOUN 8336h130p3c 3 23 are be AUX 8336h130p3c 3 24 representable representable ADJ 8336h130p3c 3 25 in in ADP 8336h130p3c 3 26 the the DET 8336h130p3c 3 27 logical logical ADJ 8336h130p3c 3 28 truths truth NOUN 8336h130p3c 3 29 . . PUNCT 8336h130p3c 4 1 it it PRON 8336h130p3c 4 2 is be AUX 8336h130p3c 4 3 argued argue VERB 8336h130p3c 4 4 in in ADP 8336h130p3c 4 5 the the DET 8336h130p3c 4 6 first first ADJ 8336h130p3c 4 7 chapter chapter NOUN 8336h130p3c 4 8 that that PRON 8336h130p3c 4 9 this this DET 8336h130p3c 4 10 account account NOUN 8336h130p3c 4 11 is be AUX 8336h130p3c 4 12 subject subject ADJ 8336h130p3c 4 13 to to ADP 8336h130p3c 4 14 various various ADJ 8336h130p3c 4 15 problems problem NOUN 8336h130p3c 4 16 : : PUNCT 8336h130p3c 4 17 for for ADP 8336h130p3c 4 18 instance instance NOUN 8336h130p3c 4 19 , , PUNCT 8336h130p3c 4 20 the the DET 8336h130p3c 4 21 most most ADV 8336h130p3c 4 22 straightforward straightforward ADJ 8336h130p3c 4 23 versions version NOUN 8336h130p3c 4 24 seem seem VERB 8336h130p3c 4 25 vulnerable vulnerable ADJ 8336h130p3c 4 26 to to ADP 8336h130p3c 4 27 various various ADJ 8336h130p3c 4 28 counterexamples counterexample NOUN 8336h130p3c 4 29 . . PUNCT 8336h130p3c 5 1 the the DET 8336h130p3c 5 2 basic basic ADJ 8336h130p3c 5 3 idea idea NOUN 8336h130p3c 5 4 of of ADP 8336h130p3c 5 5 the the DET 8336h130p3c 5 6 alternative alternative ADJ 8336h130p3c 5 7 empiricist empiricist NOUN 8336h130p3c 5 8 account account NOUN 8336h130p3c 5 9 considered consider VERB 8336h130p3c 5 10 in in ADP 8336h130p3c 5 11 chapter chapter NOUN 8336h130p3c 5 12 two two NUM 8336h130p3c 5 13 is be AUX 8336h130p3c 5 14 that that SCONJ 8336h130p3c 5 15 complicated complicated ADJ 8336h130p3c 5 16 arithmetical arithmetical ADJ 8336h130p3c 5 17 truths truth NOUN 8336h130p3c 5 18 like like ADP 8336h130p3c 5 19 mathematical mathematical ADJ 8336h130p3c 5 20 induction induction NOUN 8336h130p3c 5 21 may may AUX 8336h130p3c 5 22 be be AUX 8336h130p3c 5 23 inferred infer VERB 8336h130p3c 5 24 by by ADP 8336h130p3c 5 25 way way NOUN 8336h130p3c 5 26 of of ADP 8336h130p3c 5 27 confirmation confirmation NOUN 8336h130p3c 5 28 from from ADP 8336h130p3c 5 29 less less ADV 8336h130p3c 5 30 complicated complicated ADJ 8336h130p3c 5 31 quantifier quantifier NOUN 8336h130p3c 5 32 - - PUNCT 8336h130p3c 5 33 free free ADJ 8336h130p3c 5 34 arithmetical arithmetical ADJ 8336h130p3c 5 35 truths truth NOUN 8336h130p3c 5 36 . . PUNCT 8336h130p3c 6 1 the the DET 8336h130p3c 6 2 notion notion NOUN 8336h130p3c 6 3 of of ADP 8336h130p3c 6 4 confirmation confirmation NOUN 8336h130p3c 6 5 here here ADV 8336h130p3c 6 6 is be AUX 8336h130p3c 6 7 understood understand VERB 8336h130p3c 6 8 probabilistically probabilistically ADV 8336h130p3c 6 9 , , PUNCT 8336h130p3c 6 10 and and CCONJ 8336h130p3c 6 11 responses response NOUN 8336h130p3c 6 12 are be AUX 8336h130p3c 6 13 given give VERB 8336h130p3c 6 14 in in ADP 8336h130p3c 6 15 this this DET 8336h130p3c 6 16 chapter chapter NOUN 8336h130p3c 6 17 to to ADP 8336h130p3c 6 18 several several ADJ 8336h130p3c 6 19 seeming seeming NOUN 8336h130p3c 6 20 problems problem NOUN 8336h130p3c 6 21 with with ADP 8336h130p3c 6 22 this this DET 8336h130p3c 6 23 importation importation NOUN 8336h130p3c 6 24 of of ADP 8336h130p3c 6 25 probability probability NOUN 8336h130p3c 6 26 into into ADP 8336h130p3c 6 27 arithmetic arithmetic NOUN 8336h130p3c 6 28 . . PUNCT 8336h130p3c 7 1 the the DET 8336h130p3c 7 2 final final ADJ 8336h130p3c 7 3 two two NUM 8336h130p3c 7 4 chapters chapter NOUN 8336h130p3c 7 5 are be AUX 8336h130p3c 7 6 concerned concern VERB 8336h130p3c 7 7 with with ADP 8336h130p3c 7 8 arithmetical arithmetical ADJ 8336h130p3c 7 9 definability definability NOUN 8336h130p3c 7 10 in in ADP 8336h130p3c 7 11 two two NUM 8336h130p3c 7 12 different different ADJ 8336h130p3c 7 13 settings setting NOUN 8336h130p3c 7 14 . . PUNCT 8336h130p3c 8 1 in in ADP 8336h130p3c 8 2 the the DET 8336h130p3c 8 3 third third ADJ 8336h130p3c 8 4 chapter chapter NOUN 8336h130p3c 8 5 , , PUNCT 8336h130p3c 8 6 the the DET 8336h130p3c 8 7 interpretability interpretability NOUN 8336h130p3c 8 8 strength strength NOUN 8336h130p3c 8 9 of of ADP 8336h130p3c 8 10 the the DET 8336h130p3c 8 11 arithmetical arithmetical ADJ 8336h130p3c 8 12 and and CCONJ 8336h130p3c 8 13 hyperarithmetical hyperarithmetical ADJ 8336h130p3c 8 14 subsystems subsystem NOUN 8336h130p3c 8 15 of of ADP 8336h130p3c 8 16 second second ADJ 8336h130p3c 8 17 - - PUNCT 8336h130p3c 8 18 order order NOUN 8336h130p3c 8 19 peano peano PROPN 8336h130p3c 8 20 arithmetic arithmetic NOUN 8336h130p3c 8 21 is be AUX 8336h130p3c 8 22 compared compare VERB 8336h130p3c 8 23 to to ADP 8336h130p3c 8 24 the the DET 8336h130p3c 8 25 interpretability interpretability NOUN 8336h130p3c 8 26 strength strength NOUN 8336h130p3c 8 27 of of ADP 8336h130p3c 8 28 analogous analogous ADJ 8336h130p3c 8 29 systems system NOUN 8336h130p3c 8 30 centered center VERB 8336h130p3c 8 31 around around ADP 8336h130p3c 8 32 two two NUM 8336h130p3c 8 33 principles principle NOUN 8336h130p3c 8 34 called call VERB 8336h130p3c 8 35 hume hume PROPN 8336h130p3c 8 36 's 's PART 8336h130p3c 8 37 principle principle ADJ 8336h130p3c 8 38 and and CCONJ 8336h130p3c 8 39 basic basic ADJ 8336h130p3c 8 40 law law NOUN 8336h130p3c 8 41 v v NOUN 8336h130p3c 8 42 , , PUNCT 8336h130p3c 8 43 which which PRON 8336h130p3c 8 44 respectively respectively ADV 8336h130p3c 8 45 axiomatize axiomatize VERB 8336h130p3c 8 46 a a DET 8336h130p3c 8 47 standard standard ADJ 8336h130p3c 8 48 notion notion NOUN 8336h130p3c 8 49 of of ADP 8336h130p3c 8 50 cardinality cardinality NOUN 8336h130p3c 8 51 and and CCONJ 8336h130p3c 8 52 an an DET 8336h130p3c 8 53 alternative alternative ADJ 8336h130p3c 8 54 conception conception NOUN 8336h130p3c 8 55 of of ADP 8336h130p3c 8 56 set set NOUN 8336h130p3c 8 57 . . PUNCT 8336h130p3c 9 1 one one NUM 8336h130p3c 9 2 of of ADP 8336h130p3c 9 3 the the DET 8336h130p3c 9 4 major major ADJ 8336h130p3c 9 5 results result NOUN 8336h130p3c 9 6 of of ADP 8336h130p3c 9 7 this this DET 8336h130p3c 9 8 chapter chapter NOUN 8336h130p3c 9 9 is be AUX 8336h130p3c 9 10 that that SCONJ 8336h130p3c 9 11 the the DET 8336h130p3c 9 12 hyperarithmetic hyperarithmetic ADJ 8336h130p3c 9 13 subsystem subsystem NOUN 8336h130p3c 9 14 of of ADP 8336h130p3c 9 15 hume hume PROPN 8336h130p3c 9 16 's 's PART 8336h130p3c 9 17 principle principle NOUN 8336h130p3c 9 18 does do AUX 8336h130p3c 9 19 not not PART 8336h130p3c 9 20 interpret interpret VERB 8336h130p3c 9 21 the the DET 8336h130p3c 9 22 hyperarithmetic hyperarithmetic ADJ 8336h130p3c 9 23 subsystem subsystem NOUN 8336h130p3c 9 24 of of ADP 8336h130p3c 9 25 second second ADJ 8336h130p3c 9 26 - - PUNCT 8336h130p3c 9 27 order order NOUN 8336h130p3c 9 28 peano peano PROPN 8336h130p3c 9 29 arithmetic arithmetic PROPN 8336h130p3c 9 30 . . PUNCT 8336h130p3c 10 1 the the DET 8336h130p3c 10 2 fourth fourth ADJ 8336h130p3c 10 3 chapter chapter NOUN 8336h130p3c 10 4 is be AUX 8336h130p3c 10 5 concerned concern VERB 8336h130p3c 10 6 with with ADP 8336h130p3c 10 7 arithmetical arithmetical ADJ 8336h130p3c 10 8 definability definability NOUN 8336h130p3c 10 9 in in ADP 8336h130p3c 10 10 the the DET 8336h130p3c 10 11 setting setting NOUN 8336h130p3c 10 12 of of ADP 8336h130p3c 10 13 descriptive descriptive ADJ 8336h130p3c 10 14 set set NOUN 8336h130p3c 10 15 theory theory NOUN 8336h130p3c 10 16 , , PUNCT 8336h130p3c 10 17 where where SCONJ 8336h130p3c 10 18 the the DET 8336h130p3c 10 19 relevant relevant ADJ 8336h130p3c 10 20 benchmark benchmark NOUN 8336h130p3c 10 21 is be AUX 8336h130p3c 10 22 between between ADP 8336h130p3c 10 23 notions notion NOUN 8336h130p3c 10 24 which which PRON 8336h130p3c 10 25 may may AUX 8336h130p3c 10 26 be be AUX 8336h130p3c 10 27 defined define VERB 8336h130p3c 10 28 without without ADP 8336h130p3c 10 29 quantification quantification NOUN 8336h130p3c 10 30 over over ADP 8336h130p3c 10 31 elements element NOUN 8336h130p3c 10 32 of of ADP 8336h130p3c 10 33 certain certain ADJ 8336h130p3c 10 34 topological topological ADJ 8336h130p3c 10 35 spaces space NOUN 8336h130p3c 10 36 ( ( PUNCT 8336h130p3c 10 37 borel borel PROPN 8336h130p3c 10 38 notions notion NOUN 8336h130p3c 10 39 ) ) PUNCT 8336h130p3c 10 40 and and CCONJ 8336h130p3c 10 41 notions notion NOUN 8336h130p3c 10 42 whose whose DET 8336h130p3c 10 43 definitions definition NOUN 8336h130p3c 10 44 do do AUX 8336h130p3c 10 45 require require VERB 8336h130p3c 10 46 such such ADJ 8336h130p3c 10 47 quantification quantification NOUN 8336h130p3c 10 48 ( ( PUNCT 8336h130p3c 10 49 analytic analytic ADJ 8336h130p3c 10 50 , , PUNCT 8336h130p3c 10 51 coanalytic coanalytic ADJ 8336h130p3c 10 52 , , PUNCT 8336h130p3c 10 53 projective projective ADJ 8336h130p3c 10 54 notions notion NOUN 8336h130p3c 10 55 ) ) PUNCT 8336h130p3c 10 56 . . PUNCT 8336h130p3c 11 1 in in ADP 8336h130p3c 11 2 this this DET 8336h130p3c 11 3 fourth fourth ADJ 8336h130p3c 11 4 chapter chapter NOUN 8336h130p3c 11 5 the the DET 8336h130p3c 11 6 denjoy denjoy NOUN 8336h130p3c 11 7 integral integral ADJ 8336h130p3c 11 8 is be AUX 8336h130p3c 11 9 studied study VERB 8336h130p3c 11 10 from from ADP 8336h130p3c 11 11 the the DET 8336h130p3c 11 12 vantage vantage NOUN 8336h130p3c 11 13 point point NOUN 8336h130p3c 11 14 of of ADP 8336h130p3c 11 15 descriptive descriptive ADJ 8336h130p3c 11 16 set set NOUN 8336h130p3c 11 17 theory theory NOUN 8336h130p3c 11 18 , , PUNCT 8336h130p3c 11 19 and and CCONJ 8336h130p3c 11 20 it it PRON 8336h130p3c 11 21 is be AUX 8336h130p3c 11 22 shown show VERB 8336h130p3c 11 23 that that SCONJ 8336h130p3c 11 24 the the DET 8336h130p3c 11 25 graph graph NOUN 8336h130p3c 11 26 of of ADP 8336h130p3c 11 27 the the DET 8336h130p3c 11 28 indefinite indefinite ADJ 8336h130p3c 11 29 integral integral NOUN 8336h130p3c 11 30 is be AUX 8336h130p3c 11 31 not not PART 8336h130p3c 11 32 borel borel ADJ 8336h130p3c 11 33 but but CCONJ 8336h130p3c 11 34 rather rather ADV 8336h130p3c 11 35 is be AUX 8336h130p3c 11 36 properly properly ADV 8336h130p3c 11 37 coanalytic coanalytic ADJ 8336h130p3c 11 38 . . PUNCT 8336h130p3c 12 1 this this PRON 8336h130p3c 12 2 contrasts contrast VERB 8336h130p3c 12 3 to to ADP 8336h130p3c 12 4 the the DET 8336h130p3c 12 5 lebesgue lebesgue PROPN 8336h130p3c 12 6 integral integral NOUN 8336h130p3c 12 7 , , PUNCT 8336h130p3c 12 8 which which PRON 8336h130p3c 12 9 is be AUX 8336h130p3c 12 10 borel borel ADJ 8336h130p3c 12 11 under under ADP 8336h130p3c 12 12 this this DET 8336h130p3c 12 13 measure measure NOUN 8336h130p3c 12 14 of of ADP 8336h130p3c 12 15 complexity complexity NOUN 8336h130p3c 12 16 . . PUNCT