Principia Mathematica, Volume 1 
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Review: Principia Mathematica, Vol 1
User Review  Arya Ptb  GoodreadsToo hard and technical for a nonmathematician as myself Read full review
Review: Principia Mathematica, Vol 1
User Review  GoodreadsToo hard and technical for a nonmathematician as myself Read full review
Contents
1AGE  1 
SERIES continued 250 Elementary properties of wellordered series  4 
251 Ordinal numbers  18 
252 Segments of wellordered aeries  27 
253 Sectional relations of wellordered series  32 
254 Qreater and less among wellordered series  44 
255 Greater and less among ordinal numbers  58 
256 The series of ordinals  73 
306 Addition of simple ratios  289 
307 Generalized ratios  296 
308 Addition of generalized ratios  299 
309 Multiplication of generalized ratios  309 
310 The series of real numbers 316  316 
311 Addition of concordant real numbers  320 
312 Algebraic addition of real number  327 
313 Multiplication of real numbers  333 
257 The transfinite ancestnvl relation  81 
258 Zermelos theorem  96 
259 Inductively defined correlations  102 
SECTION E FINITE AND INFINITE SERIES AND ORDINALS  108 
260 On finite intervals in a series  109 
261 Finite and infinite series  118 
262 Finite ordinals  131 
263 Progressions  143 
264 Derivatives of wellordered series  156 
265 The series of alephs  169 
SECTION F COMPACT SERIES RATIONAL SERIES AND CONTINUOUS SERIES  179 
270 Compact series  180 
271 Median classes in series _  186 
272 Similarity of position  191 
273 Rational series  199 
274 On series of finite subclasses of a series  207 
275 Continuous series  218 
276 On series of infinite subulasses of a series  221 
QUANTITY  231 
Summary of Part VI  233 
SECTION A GENERALIZATION OF NUMBER  234 
300 Positive and negative integers and numerical relations 235  235 
301 Numerically defined powers of relations  244 
302 On relative primes  251 
303 Ratios  260 
304 The series of ratios  278 
305 Multiplication of simple ratios  283 
314 Real numbers as relations  336 
SECTION B VECTORFAMILIES  339 
330 Elementary properties of vectorfamilies  350 
331 Connected families  360 
332 On the representative of relation in a family  367 
333 Open families  376 
334 Serial families  383 
335 Initial families  390 
336 The seriea of vectors  393 
337 Multiples and aubroultiplca of vectors  403 
MEASUREMENT  407 
350 Ratios of members of a family  412 
351 Submultipliable families  419 
352 Rational multiples of a given vector  423 
353 Rational families  431 
354 Rational nets  436 
356 Measurement by real numbers  443 
359 Existencetheorems for vectorfamilies  452 
CYCLIC FAMILIES  457 
370 Elementary properties of cyclic families  462 
371 The series of vectors  466 
372 Integral sections of the series of vectors  470 
373 Submultiplns of identity  475 
374 Principal submultiples 435  485 
375 Principal ration  487 
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Common terms and phrases
a e NC axiom of infinity Bord Cantor Cl induct'C'P Cls induct comp connected family correlator Dedekindian defined definition DK Prop e Cls induct existencetheorems existent subclass field finite ordinals FM ap conx FM conx FM cycl following propositions ft infin Hence hypothesis inductive cardinals Infin ax infinite KfFM last term less Q mathematical induction median class multiplicative axiom NC induct Nr'ft Nr'P Nr'Q ordinal number ordinally similar present number Prog proof proper fractions proper section properties prove Q less rational series ratios real numbers Rel num id relation Rl'P Rl'Q sect'P serial Similarly h smof smor Q submultiple Transp typically indefinite v e NC ind v e NC induct vector vectorfamily wellordered series whence Ye Rat