In the beginning was the apeiron: infinity in Greek philosophy
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Stuttgart
Steiner
2008
|
| Series: | Palingenesia
94 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 173 S. Ill. |
| ISBN: | 9783515092586 |
Staff View
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Record in the Search Index
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| adam_text | TABLE
OF
CONTENTS
Preface
...............................................................................................................................
,
.............7
1
Anaximander
................................................................................................................................9
1.1
Apeiron
...................................................................................................................................9
1.2
Infinity of worlds
.................................................................................................................13
1.3
Origin
...................................................................................................................................16
1.4
Naming the
arche
.................................................................................................................18
1.5
Anaximenes
.........................................................................................................................19
2
The Pythagoreans
......................................................................................................................21
2.1
Harmonious universe
...........................................................................................................21
2.2 Limiters
and unlimiteds
.......................................................................................................22
2.3
Numbers
...............................................................................................................................25
3Xenophanes
................................................................................................................................29
3.1
Infinite world
.......................................................................................................................29
3.2
Infinite God
..........................................................................................................................31
4HeracIitus
...................................................................................................................................35
4.1
Eternity
........................................................................................,........................................35
5
Parmenides and
Melissus
.......................................................................................................... 40
5.1
Unlimited and
infinite
..........................................................................................................40
5.2
Sphere
..................................................................................................................................42
5.3
Philosophical environment
...................................................................................................43
5.4
Incorporeality of Being
........................................................................................................46
6
Zeno s paradoxes
.......................................................................................................................48
6.1
The dichotomy
.....................................................................................................................48
6.2
The Achilles
.........................................................................................................................50
6.3
The flying arrow
..................................................................................................................50
6.4
The stadium
..........................................................................................................................52
6.5
Plurality
................................................................................................................................54
6.6
Infinity
.................................................................................................................................55
7
Empedocles......
...........................................................................................................................57
7.1
Eternal cycles
.......................................................................................................................57
7.2
The sphere
.............................................................................................................................58
8
Anaxagoras
.................................................................................................................................61
8.1
Physics
.................................................................................................................................61
8.2
The everything in everything principle
................................................................................66
8.3
The infinitely large
...............................................................................................................74
6
Table
of
contents
9Theatomists
...............................................................................................................................76
9.1
Atoms and the void..............................................................................................................
76
9.2
Infinity of worlds
.................................................................................................................79
9.3
Infinite divisibility
...............................................................................................................81
10
Plato
..........................................................................................................................................85
10.1
Finite world
........................................................................................................................85
10.2
Numbers
.............................................................................................................................88
10.3
Infinity in the Philebus
.......................................................................................................91
lOAThePhilebus and the Timaeus
...........................................................................................95
10.5
Time and eternity
...............................................................................................................96
10.6
Knowing the infinite
..........................................................................................................98
11
Aristotle
..................................................................................................................................101
11.1
Defining infinity
...............................................................................................................101
11.2
Aristotle s razor
...............................................................................................................102
11.3
Infinity by addition
..........................................................................................................103
11.4
Continuum
.......................................................................................................................106
11.5
Causality
..........................................................................................................................110
11.6
Eternity
.............................................................................................................................111
11.7
The infinite and the finite
.................................................................................................114
12
The Old Academy
..................................................................................................................116
12.1
The unwritten doctrines
...................................................................................................116
12.2
Speusippus
.......................................................................................................................117
12.3
Xenocrates
.......................................................................................................................121
13
The Early Lyceum
.................................................................................................................126
13.1
Theophrastus
....................................................................................................................126
13.2Eudemus
...........................................................................................................................129
13.3
Strato
................................................................................................................................130
14
Epicurus
..................................................................................................................................133
14.1
Atoms and the void
..........................................................................................................133
14.2
Infinite worlds
..................................................................................................................139
14.3
Knowledge of the infinite
................................................................................................140
15
The Early
Stoa
........................................................................................................................142
15.1
The void
...........................................................................................................................142
15.2
Time
.................................................................................................................................145
15.3
Continuum
.......................................................................................................................149
15.4
Lekta
.................................................................................................................................151
15.5
The finite and the infinite
.................................................................................................154
16
Infinity in Greek mathematics
..............................................................................................155
16.1
Nonnegative
integers
........................................................................................................155
16.2
Incommensurability
.........................................................................................................157
16.3
Quadrature of the circle
....................................................................................................158
16.4
Euclid and Archimedes
....................................................................................................162
Index of names
............................................................................................................................166
Index of ancient sources
.............................................................................................................170
|
| adam_txt |
TABLE
OF
CONTENTS
Preface
.
,
.7
1
Anaximander
.9
1.1
Apeiron
.9
1.2
Infinity of worlds
.13
1.3
Origin
.16
1.4
Naming the
arche
.18
1.5
Anaximenes
.19
2
The Pythagoreans
.21
2.1
Harmonious universe
.21
2.2 Limiters
and unlimiteds
.22
2.3
Numbers
.25
3Xenophanes
.29
3.1
Infinite world
.29
3.2
Infinite God
.31
4HeracIitus
.35
4.1
Eternity
.,.35
5
Parmenides and
Melissus
. 40
5.1
Unlimited and
infinite
.40
5.2
Sphere
.42
5.3
Philosophical environment
.43
5.4
Incorporeality of Being
.46
6
Zeno's paradoxes
.48
6.1
The dichotomy
.48
6.2
The Achilles
.50
6.3
The flying arrow
.50
6.4
The stadium
.52
6.5
Plurality
.54
6.6
Infinity
.55
7
Empedocles.
.57
7.1
Eternal cycles
.57
7.2
The sphere
.58
8
Anaxagoras
.61
8.1
Physics
.61
8.2
The everything in everything principle
.66
8.3
The infinitely large
.74
6
Table
of
contents
9Theatomists
.76
9.1
Atoms and the void.
76
9.2
Infinity of worlds
.79
9.3
Infinite divisibility
.81
10
Plato
.85
10.1
Finite world
.85
10.2
Numbers
.88
10.3
Infinity in the Philebus
.91
lOAThePhilebus and the Timaeus
.95
10.5
Time and eternity
.96
10.6
Knowing the infinite
.98
11
Aristotle
.101
11.1
Defining infinity
.101
11.2
Aristotle's razor
.102
11.3
Infinity by addition
.103
11.4
Continuum
.106
11.5
Causality
.110
11.6
Eternity
.111
11.7
The infinite and the finite
.114
12
The Old Academy
.116
12.1
The unwritten doctrines
.116
12.2
Speusippus
.117
12.3
Xenocrates
.121
13
The Early Lyceum
.126
13.1
Theophrastus
.126
13.2Eudemus
.129
13.3
Strato
.130
14
Epicurus
.133
14.1
Atoms and the void
.133
14.2
Infinite worlds
.139
14.3
Knowledge of the infinite
.140
15
The Early
Stoa
.142
15.1
The void
.142
15.2
Time
.145
15.3
Continuum
.149
15.4
Lekta
.151
15.5
The finite and the infinite
.154
16
Infinity in Greek mathematics
.155
16.1
Nonnegative
integers
.155
16.2
Incommensurability
.157
16.3
Quadrature of the circle
.158
16.4
Euclid and Archimedes
.162
Index of names
.166
Index of ancient sources
.170 |
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| series | Palingenesia |
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| spelling | Drozdek, Adam 1951- Verfasser (DE-588)1068070099 aut In the beginning was the apeiron infinity in Greek philosophy Adam Drozdek Stuttgart Steiner 2008 173 S. Ill. txt rdacontent n rdamedia nc rdacarrier Palingenesia 94 Unendlichkeit Cosmology, Ancient Finite, The Infinite Philosophy, Ancient Philosophie (DE-588)4045791-6 gnd rswk-swf Unendlichkeit (DE-588)4136067-9 gnd rswk-swf Griechenland <Altertum> - Philosophie - Unendlichkeit Griechenland Altertum (DE-588)4093976-5 gnd rswk-swf Philosophie der Antike (DE-2581)TH000006619 gbd Griechenland Altertum (DE-588)4093976-5 g Philosophie (DE-588)4045791-6 s Unendlichkeit (DE-588)4136067-9 s DE-604 Palingenesia 94 (DE-604)BV000000869 94 Digitalisierung BSBMuenchen application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016792511&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Drozdek, Adam 1951- In the beginning was the apeiron infinity in Greek philosophy Palingenesia Unendlichkeit Cosmology, Ancient Finite, The Infinite Philosophy, Ancient Philosophie (DE-588)4045791-6 gnd Unendlichkeit (DE-588)4136067-9 gnd |
| subject_GND | (DE-588)4045791-6 (DE-588)4136067-9 (DE-588)4093976-5 |
| title | In the beginning was the apeiron infinity in Greek philosophy |
| title_auth | In the beginning was the apeiron infinity in Greek philosophy |
| title_exact_search | In the beginning was the apeiron infinity in Greek philosophy |
| title_exact_search_txtP | In the beginning was the apeiron infinity in Greek philosophy |
| title_full | In the beginning was the apeiron infinity in Greek philosophy Adam Drozdek |
| title_fullStr | In the beginning was the apeiron infinity in Greek philosophy Adam Drozdek |
| title_full_unstemmed | In the beginning was the apeiron infinity in Greek philosophy Adam Drozdek |
| title_short | In the beginning was the apeiron |
| title_sort | in the beginning was the apeiron infinity in greek philosophy |
| title_sub | infinity in Greek philosophy |
| topic | Unendlichkeit Cosmology, Ancient Finite, The Infinite Philosophy, Ancient Philosophie (DE-588)4045791-6 gnd Unendlichkeit (DE-588)4136067-9 gnd |
| topic_facet | Unendlichkeit Cosmology, Ancient Finite, The Infinite Philosophy, Ancient Philosophie Griechenland <Altertum> - Philosophie - Unendlichkeit Griechenland Altertum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016792511&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000869 |
| work_keys_str_mv | AT drozdekadam inthebeginningwastheapeironinfinityingreekphilosophy |