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-rw-r--r--slides/preplogic-slides.aux56
-rw-r--r--slides/preplogic-slides.fdb_latexmk425
-rw-r--r--slides/preplogic-slides.fls676
-rw-r--r--slides/preplogic-slides.log1427
-rw-r--r--slides/preplogic-slides.nav54
-rw-r--r--slides/preplogic-slides.pdfbin364862 -> 364675 bytes
-rw-r--r--slides/preplogic-slides.synctex.gzbin90792 -> 88640 bytes
-rw-r--r--slides/preplogic-slides.tex10
-rw-r--r--slides/preplogic-slides.toc2
9 files changed, 1489 insertions, 1161 deletions
diff --git a/slides/preplogic-slides.aux b/slides/preplogic-slides.aux
index d51ee85..ee1fb2f 100644
--- a/slides/preplogic-slides.aux
+++ b/slides/preplogic-slides.aux
@@ -70,32 +70,32 @@
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diff --git a/slides/preplogic-slides.fdb_latexmk b/slides/preplogic-slides.fdb_latexmk
index b01ff7a..32485a0 100644
--- a/slides/preplogic-slides.fdb_latexmk
+++ b/slides/preplogic-slides.fdb_latexmk
@@ -1,220 +1,217 @@
1# Fdb version 3 1# Fdb version 3
2["pdflatex"] 1599412181 "preplogic-slides.tex" "preplogic-slides.pdf" "preplogic-slides" 1599412185 2["pdflatex"] 1599547213 "preplogic-slides.tex" "preplogic-slides.pdf" "preplogic-slides" 1599547216
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524 defining Unicode char U+00AB (decimal 171)
525 defining Unicode char U+00AD (decimal 173)
526 defining Unicode char U+00BB (decimal 187)
527 defining Unicode char U+00BF (decimal 191)
528 defining Unicode char U+00C0 (decimal 192)
529 defining Unicode char U+00C1 (decimal 193)
530 defining Unicode char U+00C2 (decimal 194)
531 defining Unicode char U+00C3 (decimal 195)
532 defining Unicode char U+00C4 (decimal 196)
533 defining Unicode char U+00C5 (decimal 197)
534 defining Unicode char U+00C6 (decimal 198)
535 defining Unicode char U+00C7 (decimal 199)
536 defining Unicode char U+00C8 (decimal 200)
537 defining Unicode char U+00C9 (decimal 201)
538 defining Unicode char U+00CA (decimal 202)
539 defining Unicode char U+00CB (decimal 203)
540 defining Unicode char U+00CC (decimal 204)
541 defining Unicode char U+00CD (decimal 205)
542 defining Unicode char U+00CE (decimal 206)
543 defining Unicode char U+00CF (decimal 207)
544 defining Unicode char U+00D0 (decimal 208)
545 defining Unicode char U+00D1 (decimal 209)
546 defining Unicode char U+00D2 (decimal 210)
547 defining Unicode char U+00D3 (decimal 211)
548 defining Unicode char U+00D4 (decimal 212)
549 defining Unicode char U+00D5 (decimal 213)
550 defining Unicode char U+00D6 (decimal 214)
551 defining Unicode char U+00D8 (decimal 216)
552 defining Unicode char U+00D9 (decimal 217)
553 defining Unicode char U+00DA (decimal 218)
554 defining Unicode char U+00DB (decimal 219)
555 defining Unicode char U+00DC (decimal 220)
556 defining Unicode char U+00DD (decimal 221)
557 defining Unicode char U+00DE (decimal 222)
558 defining Unicode char U+00DF (decimal 223)
559 defining Unicode char U+00E0 (decimal 224)
560 defining Unicode char U+00E1 (decimal 225)
561 defining Unicode char U+00E2 (decimal 226)
562 defining Unicode char U+00E3 (decimal 227)
563 defining Unicode char U+00E4 (decimal 228)
564 defining Unicode char U+00E5 (decimal 229)
565 defining Unicode char U+00E6 (decimal 230)
566 defining Unicode char U+00E7 (decimal 231)
567 defining Unicode char U+00E8 (decimal 232)
568 defining Unicode char U+00E9 (decimal 233)
569 defining Unicode char U+00EA (decimal 234)
570 defining Unicode char U+00EB (decimal 235)
571 defining Unicode char U+00EC (decimal 236)
572 defining Unicode char U+00ED (decimal 237)
573 defining Unicode char U+00EE (decimal 238)
574 defining Unicode char U+00EF (decimal 239)
575 defining Unicode char U+00F0 (decimal 240)
576 defining Unicode char U+00F1 (decimal 241)
577 defining Unicode char U+00F2 (decimal 242)
578 defining Unicode char U+00F3 (decimal 243)
579 defining Unicode char U+00F4 (decimal 244)
580 defining Unicode char U+00F5 (decimal 245)
581 defining Unicode char U+00F6 (decimal 246)
582 defining Unicode char U+00F8 (decimal 248)
583 defining Unicode char U+00F9 (decimal 249)
584 defining Unicode char U+00FA (decimal 250)
585 defining Unicode char U+00FB (decimal 251)
586 defining Unicode char U+00FC (decimal 252)
587 defining Unicode char U+00FD (decimal 253)
588 defining Unicode char U+00FE (decimal 254)
589 defining Unicode char U+00FF (decimal 255)
590 defining Unicode char U+0100 (decimal 256)
591 defining Unicode char U+0101 (decimal 257)
592 defining Unicode char U+0102 (decimal 258)
593 defining Unicode char U+0103 (decimal 259)
594 defining Unicode char U+0104 (decimal 260)
595 defining Unicode char U+0105 (decimal 261)
596 defining Unicode char U+0106 (decimal 262)
597 defining Unicode char U+0107 (decimal 263)
598 defining Unicode char U+0108 (decimal 264)
599 defining Unicode char U+0109 (decimal 265)
600 defining Unicode char U+010A (decimal 266)
601 defining Unicode char U+010B (decimal 267)
602 defining Unicode char U+010C (decimal 268)
603 defining Unicode char U+010D (decimal 269)
604 defining Unicode char U+010E (decimal 270)
605 defining Unicode char U+010F (decimal 271)
606 defining Unicode char U+0110 (decimal 272)
607 defining Unicode char U+0111 (decimal 273)
608 defining Unicode char U+0112 (decimal 274)
609 defining Unicode char U+0113 (decimal 275)
610 defining Unicode char U+0114 (decimal 276)
611 defining Unicode char U+0115 (decimal 277)
612 defining Unicode char U+0116 (decimal 278)
613 defining Unicode char U+0117 (decimal 279)
614 defining Unicode char U+0118 (decimal 280)
615 defining Unicode char U+0119 (decimal 281)
616 defining Unicode char U+011A (decimal 282)
617 defining Unicode char U+011B (decimal 283)
618 defining Unicode char U+011C (decimal 284)
619 defining Unicode char U+011D (decimal 285)
620 defining Unicode char U+011E (decimal 286)
621 defining Unicode char U+011F (decimal 287)
622 defining Unicode char U+0120 (decimal 288)
623 defining Unicode char U+0121 (decimal 289)
624 defining Unicode char U+0122 (decimal 290)
625 defining Unicode char U+0123 (decimal 291)
626 defining Unicode char U+0124 (decimal 292)
627 defining Unicode char U+0125 (decimal 293)
628 defining Unicode char U+0128 (decimal 296)
629 defining Unicode char U+0129 (decimal 297)
630 defining Unicode char U+012A (decimal 298)
631 defining Unicode char U+012B (decimal 299)
632 defining Unicode char U+012C (decimal 300)
633 defining Unicode char U+012D (decimal 301)
634 defining Unicode char U+012E (decimal 302)
635 defining Unicode char U+012F (decimal 303)
636 defining Unicode char U+0130 (decimal 304)
637 defining Unicode char U+0131 (decimal 305)
638 defining Unicode char U+0132 (decimal 306)
639 defining Unicode char U+0133 (decimal 307)
640 defining Unicode char U+0134 (decimal 308)
641 defining Unicode char U+0135 (decimal 309)
642 defining Unicode char U+0136 (decimal 310)
643 defining Unicode char U+0137 (decimal 311)
644 defining Unicode char U+0139 (decimal 313)
645 defining Unicode char U+013A (decimal 314)
646 defining Unicode char U+013B (decimal 315)
647 defining Unicode char U+013C (decimal 316)
648 defining Unicode char U+013D (decimal 317)
649 defining Unicode char U+013E (decimal 318)
650 defining Unicode char U+0141 (decimal 321)
651 defining Unicode char U+0142 (decimal 322)
652 defining Unicode char U+0143 (decimal 323)
653 defining Unicode char U+0144 (decimal 324)
654 defining Unicode char U+0145 (decimal 325)
655 defining Unicode char U+0146 (decimal 326)
656 defining Unicode char U+0147 (decimal 327)
657 defining Unicode char U+0148 (decimal 328)
658 defining Unicode char U+014A (decimal 330)
659 defining Unicode char U+014B (decimal 331)
660 defining Unicode char U+014C (decimal 332)
661 defining Unicode char U+014D (decimal 333)
662 defining Unicode char U+014E (decimal 334)
663 defining Unicode char U+014F (decimal 335)
664 defining Unicode char U+0150 (decimal 336)
665 defining Unicode char U+0151 (decimal 337)
666 defining Unicode char U+0152 (decimal 338)
667 defining Unicode char U+0153 (decimal 339)
668 defining Unicode char U+0154 (decimal 340)
669 defining Unicode char U+0155 (decimal 341)
670 defining Unicode char U+0156 (decimal 342)
671 defining Unicode char U+0157 (decimal 343)
672 defining Unicode char U+0158 (decimal 344)
673 defining Unicode char U+0159 (decimal 345)
674 defining Unicode char U+015A (decimal 346)
675 defining Unicode char U+015B (decimal 347)
676 defining Unicode char U+015C (decimal 348)
677 defining Unicode char U+015D (decimal 349)
678 defining Unicode char U+015E (decimal 350)
679 defining Unicode char U+015F (decimal 351)
680 defining Unicode char U+0160 (decimal 352)
681 defining Unicode char U+0161 (decimal 353)
682 defining Unicode char U+0162 (decimal 354)
683 defining Unicode char U+0163 (decimal 355)
684 defining Unicode char U+0164 (decimal 356)
685 defining Unicode char U+0165 (decimal 357)
686 defining Unicode char U+0168 (decimal 360)
687 defining Unicode char U+0169 (decimal 361)
688 defining Unicode char U+016A (decimal 362)
689 defining Unicode char U+016B (decimal 363)
690 defining Unicode char U+016C (decimal 364)
691 defining Unicode char U+016D (decimal 365)
692 defining Unicode char U+016E (decimal 366)
693 defining Unicode char U+016F (decimal 367)
694 defining Unicode char U+0170 (decimal 368)
695 defining Unicode char U+0171 (decimal 369)
696 defining Unicode char U+0172 (decimal 370)
697 defining Unicode char U+0173 (decimal 371)
698 defining Unicode char U+0174 (decimal 372)
699 defining Unicode char U+0175 (decimal 373)
700 defining Unicode char U+0176 (decimal 374)
701 defining Unicode char U+0177 (decimal 375)
702 defining Unicode char U+0178 (decimal 376)
703 defining Unicode char U+0179 (decimal 377)
704 defining Unicode char U+017A (decimal 378)
705 defining Unicode char U+017B (decimal 379)
706 defining Unicode char U+017C (decimal 380)
707 defining Unicode char U+017D (decimal 381)
708 defining Unicode char U+017E (decimal 382)
709 defining Unicode char U+01CD (decimal 461)
710 defining Unicode char U+01CE (decimal 462)
711 defining Unicode char U+01CF (decimal 463)
712 defining Unicode char U+01D0 (decimal 464)
713 defining Unicode char U+01D1 (decimal 465)
714 defining Unicode char U+01D2 (decimal 466)
715 defining Unicode char U+01D3 (decimal 467)
716 defining Unicode char U+01D4 (decimal 468)
717 defining Unicode char U+01E2 (decimal 482)
718 defining Unicode char U+01E3 (decimal 483)
719 defining Unicode char U+01E6 (decimal 486)
720 defining Unicode char U+01E7 (decimal 487)
721 defining Unicode char U+01E8 (decimal 488)
722 defining Unicode char U+01E9 (decimal 489)
723 defining Unicode char U+01EA (decimal 490)
724 defining Unicode char U+01EB (decimal 491)
725 defining Unicode char U+01F0 (decimal 496)
726 defining Unicode char U+01F4 (decimal 500)
727 defining Unicode char U+01F5 (decimal 501)
728 defining Unicode char U+0218 (decimal 536)
729 defining Unicode char U+0219 (decimal 537)
730 defining Unicode char U+021A (decimal 538)
731 defining Unicode char U+021B (decimal 539)
732 defining Unicode char U+0232 (decimal 562)
733 defining Unicode char U+0233 (decimal 563)
734 defining Unicode char U+1E02 (decimal 7682)
735 defining Unicode char U+1E03 (decimal 7683)
736 defining Unicode char U+200C (decimal 8204)
737 defining Unicode char U+2010 (decimal 8208)
738 defining Unicode char U+2011 (decimal 8209)
739 defining Unicode char U+2012 (decimal 8210)
740 defining Unicode char U+2013 (decimal 8211)
741 defining Unicode char U+2014 (decimal 8212)
742 defining Unicode char U+2015 (decimal 8213)
743 defining Unicode char U+2018 (decimal 8216)
744 defining Unicode char U+2019 (decimal 8217)
745 defining Unicode char U+201A (decimal 8218)
746 defining Unicode char U+201C (decimal 8220)
747 defining Unicode char U+201D (decimal 8221)
748 defining Unicode char U+201E (decimal 8222)
749 defining Unicode char U+2030 (decimal 8240)
750 defining Unicode char U+2031 (decimal 8241)
751 defining Unicode char U+2039 (decimal 8249)
752 defining Unicode char U+203A (decimal 8250)
753 defining Unicode char U+2423 (decimal 9251)
754 defining Unicode char U+1E20 (decimal 7712)
755 defining Unicode char U+1E21 (decimal 7713)
756)
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762 defining Unicode char U+00A1 (decimal 161)
763 defining Unicode char U+00A3 (decimal 163)
764 defining Unicode char U+00AD (decimal 173)
765 defining Unicode char U+00B8 (decimal 184)
766 defining Unicode char U+00BF (decimal 191)
767 defining Unicode char U+00C5 (decimal 197)
768 defining Unicode char U+00C6 (decimal 198)
769 defining Unicode char U+00D8 (decimal 216)
770 defining Unicode char U+00DF (decimal 223)
771 defining Unicode char U+00E6 (decimal 230)
772 defining Unicode char U+00EC (decimal 236)
773 defining Unicode char U+00ED (decimal 237)
774 defining Unicode char U+00EE (decimal 238)
775 defining Unicode char U+00EF (decimal 239)
776 defining Unicode char U+00F8 (decimal 248)
777 defining Unicode char U+0131 (decimal 305)
778 defining Unicode char U+0141 (decimal 321)
779 defining Unicode char U+0142 (decimal 322)
780 defining Unicode char U+0152 (decimal 338)
781 defining Unicode char U+0153 (decimal 339)
782 defining Unicode char U+0174 (decimal 372)
783 defining Unicode char U+0175 (decimal 373)
784 defining Unicode char U+0176 (decimal 374)
785 defining Unicode char U+0177 (decimal 375)
786 defining Unicode char U+0218 (decimal 536)
787 defining Unicode char U+0219 (decimal 537)
788 defining Unicode char U+021A (decimal 538)
789 defining Unicode char U+021B (decimal 539)
790 defining Unicode char U+2013 (decimal 8211)
791 defining Unicode char U+2014 (decimal 8212)
792 defining Unicode char U+2018 (decimal 8216)
793 defining Unicode char U+2019 (decimal 8217)
794 defining Unicode char U+201C (decimal 8220)
795 defining Unicode char U+201D (decimal 8221)
796)
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802 defining Unicode char U+00B6 (decimal 182)
803 defining Unicode char U+00B7 (decimal 183)
804 defining Unicode char U+2020 (decimal 8224)
805 defining Unicode char U+2021 (decimal 8225)
806 defining Unicode char U+2022 (decimal 8226)
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817 defining Unicode char U+00BA (decimal 186)
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820 defining Unicode char U+200C (decimal 8204)
821 defining Unicode char U+2026 (decimal 8230)
822 defining Unicode char U+2122 (decimal 8482)
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508\c@exercise=\count312 829\c@exercise=\count156
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diff --git a/slides/preplogic-slides.nav b/slides/preplogic-slides.nav
index 46ad078..bf76d2a 100644
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diff --git a/slides/preplogic-slides.pdf b/slides/preplogic-slides.pdf
index e9bc6b7..03e8821 100644
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+++ b/slides/preplogic-slides.pdf
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diff --git a/slides/preplogic-slides.synctex.gz b/slides/preplogic-slides.synctex.gz
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diff --git a/slides/preplogic-slides.tex b/slides/preplogic-slides.tex
index dc68c1f..e0c4886 100644
--- a/slides/preplogic-slides.tex
+++ b/slides/preplogic-slides.tex
@@ -347,15 +347,19 @@ Mathematician: ``Yes.''
347 Let $S$ be a set and let $A(x)$ be a ``variable statement'' that depends on 347 Let $S$ be a set and let $A(x)$ be a ``variable statement'' that depends on
348 $x\in S$ (for example $S=\mathbb{N}$ and $A(x)=$``x is an even number''). 348 $x\in S$ (for example $S=\mathbb{N}$ and $A(x)=$``x is an even number'').
349 \pause 349 \pause
350 350 \vspace{12pt}
351 \begin{itemize} 351 \begin{itemize}
352 \item \textbf{Universal quantifier} ($\forall$ or ``for all''): 352 \item \textbf{Universal quantifier} ($\forall$ or ``for all''):
353 ``$\forall x\in S,\,A(x)$'' means that if we replace ``$x$'' with any 353 ``$\forall x\in S,\,A(x)$'' means that if we replace ``$x$'' with any
354 element of $S$, $A(x)$ is always \textbf{true}. 354 element of $S$, $A(x)$ is always \textbf{true}.
355 \vspace{9pt}
355 \item \textbf{Existential quantifier} ($\exists$ or ``there exists''): 356 \item \textbf{Existential quantifier} ($\exists$ or ``there exists''):
356 ``$\exists x\in S,\, A(x)$'' means that $A(x)$ is \textbf{true} for 357 ``$\exists x\in S,\, A(x)$'' means that $A(x)$ is \textbf{true} for
357 at least one value of $x$ is $S$. 358 at least one value of $x$ is $S$.
358 \end{itemize} 359 \end{itemize}
360 \vspace{12pt}
361 \pause
362 \textbf{You always need a set $S$}
359\end{frame} 363\end{frame}
360 364
361\begin{frame}{Quantifiers - examples} 365\begin{frame}{Quantifiers - examples}
@@ -467,8 +471,8 @@ Mathematician: ``Yes.''
467 \begin{enumerate} 471 \begin{enumerate}
468 \item Assume that there are only finitely many prime numbers. 472 \item Assume that there are only finitely many prime numbers.
469 \pause 473 \pause
470 \item So there are $n$ prime numbers, for some number $n$. 474 \item $\exists n\in \mathbb N$, there are $n$ prime numbers. Call them
471 Call them $p_1,p_2,\dots,p_n$. 475 $p_1,p_2,\dots,p_n$.
472 \pause 476 \pause
473 \item Let $u=p_1\times p_2\times \dots \times p_n +1$. 477 \item Let $u=p_1\times p_2\times \dots \times p_n +1$.
474 \pause 478 \pause
diff --git a/slides/preplogic-slides.toc b/slides/preplogic-slides.toc
index 80170ac..1dc8678 100644
--- a/slides/preplogic-slides.toc
+++ b/slides/preplogic-slides.toc
@@ -2,4 +2,4 @@
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3\beamer@sectionintoc {3}{Implication}{28}{0}{3} 3\beamer@sectionintoc {3}{Implication}{28}{0}{3}
4\beamer@sectionintoc {4}{Quantifiers}{40}{0}{4} 4\beamer@sectionintoc {4}{Quantifiers}{40}{0}{4}
5\beamer@sectionintoc {5}{Proofs}{46}{0}{5} 5\beamer@sectionintoc {5}{Proofs}{47}{0}{5}

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