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File: dfki.eps Graphic file (type eps) File: ju.eps Graphic file (type eps) File: uds.eps Graphic file (type eps) File: seki-robbi.eps Graphic file (type eps) File: leibniz.eps Graphic file (type eps) LaTeX Font Info: Try loading font information for T1+cmtt on input line 238. (/Users/cp/svn/hilbertbernays/trunk/t1cmtt.fd File: t1cmtt.fd 1999/05/25 v2.5h Standard LaTeX font definitions ) LaTeX Font Info: Try loading font information for U+lasy on input line 238. (/Users/cp/svn/hilbertbernays/trunk/ulasy.fd File: ulasy.fd 1998/08/17 v2.2e LaTeX symbol font definitions ) LaTeX Font Info: Try loading font information for U+msa on input line 238. (/Users/cp/svn/hilbertbernays/trunk/umsa.fd File: umsa.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Info: Try loading font information for U+msb on input line 238. (/Users/cp/svn/hilbertbernays/trunk/umsb.fd File: umsb.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Info: Try loading font information for T1+cmss on input line 238. (/Users/cp/svn/hilbertbernays/trunk/t1cmss.fd File: t1cmss.fd 1999/05/25 v2.5h Standard LaTeX font definitions ) Underfull \vbox (badness 10000) has occurred while \output is active [] [-99 ] Underfull \hbox (badness 10000) in paragraph at lines 238--238 [] Underfull \hbox (badness 10000) in paragraph at lines 238--238 [] Underfull \hbox (badness 10000) in paragraph at lines 238--238 [] Underfull \hbox (badness 10000) in paragraph at lines 238--238 [] Underfull \hbox (badness 10000) in paragraph at lines 238--238 [] Underfull \hbox (badness 10000) in paragraph at lines 238--238 [] Underfull \hbox (badness 10000) in paragraph at lines 238--238 [] [-98] Underfull \hbox (badness 1107) in paragraph at lines 286--286 \T1/cmr/m/n/10.95 Prov-ing; [][]'s $\OML/cmm/m/it/10.95 "$\T1/cmr/m/n/10.95 -Op erator; \T1/cmr/m/sc/10.95 Henkin \T1/cmr/m/n/10.95 Quan-tifi-ca-tion; IF Logic ; []'s [] [1 ] [2 ] (./pdf.toc [3]) \tf@toc=\write6 \openout6 = `pdf.toc'. [4] LaTeX Font Info: Try loading font information for OMS+cmr on input line 311. (/Users/cp/svn/hilbertbernays/trunk/omscmr.fd File: omscmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions ) LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <12> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 311. Overfull \hbox (4.41203pt too wide) in paragraph at lines 311--313 []\T1/cmr/m/n/12 Free vari-ables with-out choice-condition now play the for-mer rôle of the $\OML/cmm/m/it/12 ^^M$\T1/cmr/m/n/12 -variables. [] [5] [6] \openout4 = `pdf.ent'. [7] [8] [9] [10] [11] [12] [13] [14] [15 ] [16] [17] [18] Overfull \hbox (2.58801pt too wide) in paragraph at lines 1852--1860 \T1/cmr/m/n/12 first elab-o-rated in the second vol-ume of \T1/cmr/m/sc/12 Hilb ert--[]\T1/cmr/m/n/12 ' []\T1/cmr/m/it/12 Founda-tions of Mathema- [] [19] Overfull \hbox (2.71712pt too wide) in paragraph at lines 1932--1941 \T1/cmr/m/n/12 the foun-da-tional and proof-theoretic con-tri-bu-tions of []\T1 /cmr/m/sc/12 David [] \T1/cmr/m/n/12 and his mathematical- [] [20] [21] Overfull \hbox (3.3508pt too wide) in paragraph at lines 2076--2110 []\T1/cmr/m/n/12 On the other hand, rewrit-ing with ($\OML/cmm/m/it/12 "[]$\T1/ cmr/m/n/12 ), ($\OML/cmm/m/it/12 "[]$\T1/cmr/m/n/12 ) \T1/cmr/m/it/12 above \T1 /cmr/m/n/12 modal op-er-a-tors is un-crit-i-cal: [] [] Overfull \hbox (1.45802pt too wide) in paragraph at lines 2146--2157 \T1/cmr/m/n/12 p.102[]f. of []\T1/cmr/m/sc/12 Hilbe[]rt & Bernays[]\T1/cmr/m/n/ 12 , 1968; 2017b[]) into the []sub-sti-tu-tion rule [] [] [22] Overfull \hbox (6.09053pt too wide) in paragraph at lines 2183--2202 [] [] LaTeX Font Info: Font shape `OMS/cmr/m/it' in size <12> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 2203. 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[47] [48] [49] [50] Overfull \hbox (6.16344pt too wide) in paragraph at lines 5814--5832 [] [] [51] [52] [53 ] Overfull \hbox (1.02812pt too wide) in paragraph at lines 6470--6475 \T1/cmr/m/n/12 domain $[]$ and by ap-ply-ing $\OML/cmm/m/it/12 ^^[$ \T1/cmr/m/n /12 to the $\OML/cmm/m/it/12 C$\T1/cmr/m/n/12 -values of the free vari-ables re -main-ing in $[]$. [] [54] [55] Overfull \hbox (2.59015pt too wide) in paragraph at lines 6629--6629 []\T1/cmr/bx/n/14.4 Are we break-ing with the Tra-di-tional Treat-ment of []'s $\OML/cmm/m/it/14.4 "$\T1/cmr/bx/n/14.4 ? [] [56] Overfull \hbox (0.79974pt too wide) in paragraph at lines 6847--6867 \T1/cmr/m/n/12 tics with ex-is-ten-tially quan-ti-fied ``free vari-ables'' and uni-ver-sally quan-ti-fied ``free atoms'' , [] [57] [58 ] [59] Overfull \hbox (3.56828pt too wide) in paragraph at lines 7121--7131 \T1/cmr/m/n/12 which requires our posi-tive/ne-ga-tive vari-able-con-di-tion $\ OT1/cmr/m/n/12 (\OML/cmm/m/it/12 P; N\OT1/cmr/m/n/12 )$ \T1/cmr/m/n/12 to con-t ain $\OT1/cmr/m/n/12 ([]\OML/cmm/m/it/12 ; []\OT1/cmr/m/n/12 )$ \T1/cmr/m/n/12 and $\OT1/cmr/m/n/12 ([]\OML/cmm/m/it/12 ; []\OT1/cmr/m/n/12 )$ [] Underfull \vbox (badness 10000) has occurred while \output is active [] [60] Underfull \vbox (badness 10000) has occurred while \output is active [] [61] [62] [63] [64] [65] Overfull \hbox (1.1104pt too wide) in paragraph at lines 7893--7894 \T1/cmr/m/n/12 meters'') in addition to the argu-ment to which the bound vari- able of the [] [] [66] [67] [68] Underfull \hbox (badness 1102) in paragraph at lines 8183--8194 \T1/cmr/m/n/12 for $[]$ chooses a value from the uni-verse of $\OMS/cmsy/m/n/12 S$ \T1/cmr/m/n/12 of type $\OML/cmm/m/it/12 []$ \T1/cmr/m/n/12 for [] [69] [70] [71] [72] [73] [74] [75] [76] Underfull \vbox (badness 10000) has occurred while \output is active [] [77] [78] (./pdf.ent LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <10> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 240. [79] [80] [81] [82]) (./pdf.bbl [83] [84] [85] [86] Underfull \hbox (badness 2884) in paragraph at lines 472--478 \T1/cmr/m/it/10.95 ple-menten von Dr. []\T1/cmr/m/sc/10.95 Paul []\T1/cmr/m/n/1 0.95 . B. G. Teub-ner Verlag[]-gesellschaft, Stutt-gart. [] [87] Underfull \hbox (badness 3386) in paragraph at lines 579--586 []\T1/cmr/m/n/10.95 David Hilbe[]rt and Paul Bernays[], 1970. \T1/cmr/m/it/10. 95 Grund-lagen der [] Underfull \hbox (badness 1577) in paragraph at lines 609--622 []\T1/cmr/m/n/10.95 David Hilbe[]rt and Paul Bernays[], 2017b. \T1/cmr/m/it/10 .95 Grund-lagen der [] Underfull \hbox (badness 4492) in paragraph at lines 663--667 []\T1/cmr/m/n/10.95 A. Krazer, ed-i-tor, 1905. \T1/cmr/m/it/10.95 Ver-hand-lun -gen des Drit-ten In-ter-na-tionalen [] [88] [89] Underfull \hbox (badness 1067) in paragraph at lines 869--873 []\T1/cmr/m/n/10.95 Raymond M. Smullyan[], 1968. \T1/cmr/m/it/10.95 First-Orde r Logic\T1/cmr/m/n/10.95 . 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