372:
Pieri was totally dedicated to science and teaching. He was an untiring worker, honest, and of a singular modesty. When, some twenty years ago, the professors in Italy agitated for higher salaries, Pieri declared that their salaries were already above the work they did and their
532:
E.A.C. Marchisotto & A. Millán Gascia, (2021) "Mario Pieri’s View of the
Symbiotic Relationship between the Foundations and the Teaching of Elementary Geometry in the Context of the Early Twentieth Century Proposals for Pedagogical Reform",
31:
230:
based on nineteen sequentially independent axioms – each independent of the preceding ones – which are introduced one by one as they are needed in the development, thus allowing the reader to determine on which axioms a given theorem
215:, and Peano placed nine of Pieri's papers for publication with the Academy of Sciences of Turin between 1895 and 1912. They shared a passion for reducing geometric ideas to their logical form and expressing these ideas symbolically.
363:
rightly regarded him as the founder of mathematics as a hypothetical-deductive science. His precision, his rigour, and his analytical clarity are unrivaled by other
Italian geometers, perhaps with the exception of
397:
as a guest of his sister Gemma Pieri
Campetti and her husband, Umberto, a lawyer. Pieri was initially buried in a local church before his remains were transferred to the monumental cemetery in Lucca.
243:. Since this was also the year he moved from Turin to Sicily, he declined to attend but sent a paper "Sur la Géométrie envisagée comme un système purement logique", which was delivered by
278:
to develop axioms for geometry. Alessandro Padoa shared in this expression of Peano's logico-geometrical program that reduced the number of primitive notions from the
631:
626:
175:
at the university, teaching elective courses. Pieri continued to teach in Turin until 1900 when, through competition, he was awarded the position of
252:
572:
454:
453:
Maurizio
Avellone, Aldo Brigaglia & Carmela Zappulla (2002) "The Foundations of Projective Geometry in Italy from De Paolis to Pieri",
236:
584:
492:
433:
595:
441:
134:, Italy, the son of Pellegrino Pieri and Ermina Luporini. Pellegrino was a lawyer. Pieri began his higher education at
555:
621:
600:
378:
190:
394:
345:
70:
577:
547:
E.A. Marchisotto (2006) "The
Projective Geometry of Mario Pieri: A Legacy of Karl Georg Christian von Staudt",
144:
119:
554:
E.A. Marchisotto (1995) "In the shadow of giants. The work of Mario Pieri in foundations of mathematics",
511:
212:
351:
In 2002 Avellone, Brigaglia & Zappulla gave a modern evaluation of Pieri's contribution to geometry:
180:
135:
641:
636:
548:
437:
563:
341:
168:
164:
139:
616:
167:, Pieri moved there and, by 1888, he was also an assistant instructor in the same subject at the
406:
567:
506:
488:
275:
223:
152:. There he took his degree in 1884 and worked first at a technical secondary school in Pisa.
590:
516:
509:, (2022) "H.S.M. Coxeter’s Theory of Accessibility: From Mario Pieri to Marvin Greenberg",
356:
271:
267:
248:
156:
330:
466:
360:
244:
208:
289:
The research into the foundations of geometry led to another formulation in 1908 in a
196:(1847) was a much admired text on projective geometry. In 1889 Pieri translated it as
610:
334:
201:
115:
200:, a publication that included a study of the life and work of von Staudt written by
542:
La
Matematica nella SocietĂ e nella Cultura Rivista dell'Unione Matematica Italiana
297:
a full axiomatization of
Euclidean geometry based solely on the primitive concepts
283:
540:
E.A. Marchisotto (2010) "Mario Pieri: the man, the mathematician, the teacher",
220:
I principii della geometria di posizione composti in un sistema logico-deduttivo
520:
527:
The Legacy of Mario Pieri on the
Foundations and Philosophy of Mathematics
525:
E.A.C. Marchisotto & F. Rodriguez-Consuegra & J.T. Smith (2021)
30:
74:
184:
240:
160:
131:
51:
149:
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Giuseppe Peano wrote this tribute to Pieri upon his death:
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encountered the text and carried forward Pieri's program.
515:(Special issue in memory of Heinrich Wefelscheid) 77:187
393:
For several years before his death, Pieri resided in
485:
The Legacy of Mario Pieri in
Geometry and Arithmetic
377:
Mario Pieri's collected works were published by the
97:
82:
59:
37:
21:
483:Marchisotto, Elena Anne; Smith, James T. (2007).
142:. Obtaining a scholarship, Pieri transferred to
434:"Definitions and Nondefinability in Geometry"
114:(22 June 1860 – 1 March 1913) was an Italian
8:
266:memoire. It is noteworthy as using only two
18:
583:Hubert C. Kennedy (1974) "Mario Pieri",
253:International Congress of Mathematicians
573:MacTutor History of Mathematics Archive
418:
207:Pieri also came under the influence of
344:, and in 1911 fell ill. Pieri died in
293:memoire. Smith (2010) describes it as
455:Archive for History of Exact Sciences
428:
426:
424:
422:
383:Opere sui fondamenti della matematica
7:
333:in 1915 by S. Kwietniewski. A young
237:International Congress of Philosophy
632:20th-century Italian mathematicians
627:19th-century Italian mathematicians
355:Pieri's work was very influential.
585:Dictionary of Scientific Biography
247:. The ideas were also advanced by
14:
487:. Boston: Birkhäuser. p. 6.
329:This memoire was translated into
235:Pieri was invited to address the
155:When an opportunity arose at the
260:Monographia del punto e del moto
211:at Turin. He contributed to the
204:, the initiator of the project.
29:
556:History and Philosophy of Logic
385:(Edizioni Cremonese, Bologna).
138:where he drew the attention of
255:also held in Paris that year.
251:at both that congress and the
222:. It progressively introduced
1:
596:The Principles of Mathematics
442:American Mathematical Monthly
118:who is known for his work on
473:, page 142, D. Reidel/Kluwer
658:
601:Cambridge University Press
521:10.1007/s00025-022-01690-9
379:Italian Mathematical Union
171:. By 1891, he had become
105:
90:
28:
578:University of St Andrews
381:in 1980 under the title
262:, which Smith calls the
145:Scuola Normale Superiore
340:In 1908 Pieri moved to
177:extraordinary professor
120:foundations of geometry
512:Results in Mathematics
432:James T. Smith (2010)
395:Sant'Andrea di Compito
348:, not far from Lucca.
346:Sant'Andrea di Compito
213:Formulario mathematico
198:Geometria di Posizione
71:Sant'Andrea di Compito
535:Philosophia Scientiae
181:University of Catania
136:University of Bologna
16:Italian mathematician
564:Robertson, Edmund F.
549:Historia Mathematica
457:56:363–425, esp 418.
438:Lester R. Ford Award
258:In 1900 Pieri wrote
218:In 1898 Pieri wrote
562:O'Connor, John J.;
342:University of Parma
313:from a third point
169:University of Turin
165:projective geometry
140:Salvatore Pincherle
544:3(3):321-364, 465.
507:E.A.C, Marchisotto
436:(winner of a 2011
224:independent axioms
194:Geometrie der Lage
130:Pieri was born in
622:Italian logicians
268:primitive notions
183:on the island of
109:
108:
92:Scientific career
649:
591:Bertrand Russell
580:
499:
498:
480:
474:
464:
458:
451:
445:
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291:Point and Sphere
264:Point and Motion
249:Alessandro Padoa
157:military academy
66:
47:
45:
33:
19:
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407:Pieri's formula
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551:33(3):277–314.
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537:25(1):157-183.
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493:
475:
467:Hubert Kennedy
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446:
417:
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414:
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410:
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375:
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366:
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327:
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305:of two points
245:Louis Couturat
233:
232:
209:Giuseppe Peano
173:libero docente
127:
124:
107:
106:
103:
102:
99:
95:
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88:
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84:
80:
79:
69:
67:(aged 52)
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57:
56:
50:
39:
35:
34:
26:
25:
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15:
13:
10:
9:
6:
4:
3:
2:
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568:"Mario Pieri"
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531:
529:, Birkhäuser.
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494:9780817646035
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389:Personal life
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335:Alfred Tarski
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205:
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202:Corrado Segre
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166:
162:
158:
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116:mathematician
113:
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40:
36:
32:
27:
20:
594:
571:
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449:
392:
382:
376:
367:
350:
339:
328:
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314:
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306:
303:equidistance
302:
298:
290:
288:
284:Moritz Pasch
279:
263:
259:
257:
234:
219:
217:
206:
197:
193:
191:Von Staudt's
189:
176:
172:
154:
143:
129:
111:
110:
91:
65:(1913-03-01)
63:1 March 1913
48:22 June 1860
642:1913 deaths
637:1860 births
558:16:107–119.
361:L. Couturat
239:in 1900 in
112:Mario Pieri
101:Mathematics
83:Nationality
23:Mario Pieri
611:Categories
444:117:475–89
413:References
357:B. Russell
317:, written
44:1860-06-22
617:Geometers
163:to teach
126:Biography
401:See also
282:used by
231:depends.
593:(1903)
469:(1980)
86:Italian
77:, Italy
75:Tuscany
54:, Italy
491:
373:merit.
364:Peano.
331:Polish
276:motion
185:Sicily
98:Fields
471:Peano
299:point
272:point
241:Paris
161:Turin
132:Lucca
52:Lucca
489:ISBN
359:and
309:and
301:and
280:four
274:and
150:Pisa
60:Died
38:Born
517:doi
440:),
179:at
159:in
148:in
613::
599:,
576:,
570:,
566:,
421:^
323:OP
321:=
319:ON
286:.
270:,
226::
187:.
122:.
73:,
603:.
587:.
519::
497:.
325:.
315:O
311:P
307:N
46:)
42:(
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