400
TOPIC2133287010064133194229286
4.244128701005982
RENAISSANCE2545287010066124193257292343395460528584642
PHILOSOPHY3210287010061133169224293344414476547608
9929178014010860120
Source:567706011067127187227280333366
Losev,968706011073131177232291321
A.F.1319706011087117184214
Aesthetics1563706011086140186219280334367400454500
of2093706011060100
the222370601103393146
Renaissance.2399706011080133193246279326373426486540593623
Moscow:30527060110107167214267327414447
Mysl,35297060110106168212245275
1978,3834706011060120181241273
(excerpt).413770601104094153207260300360393433463
First850983012878117164219257
of1143983012879126
all,1304983012873111151186
Cusanus1535983012894163217280349419473
masterfully20539830128109170225265327374421490530568639
operates2725983012880151214261322361424477
with32479830128101140179249
the3531983012850119182
concept3748983012873142212274337406445
of4229983012879126
infinity...4390983012849118165204274313352423456491526
First4951983012888127174229268
of5254983012880127
all,5671224012862101141177
it7791224012863102
is9161224012864118
extremely10701224012887157195242305414474513584
clear16881224012887126189251298
to20211224012864134
Cusanus,219012240128119189243306375444499535
and27601224012887157227
there30211224012864134197244306
is33621224012863118
no35161224012895164
doubt37161224012895164234305343
even40951224012887156219288
among44181224012887196264335405
his48591224012895134188
most508312240128134202257296
skeptical5671465012855125188257296335397459498
readers,11011465012851113176245308353408443
that15791465012844113176214
if1827146501284491
we195714650128102164
move216114650128109177248311
from2507146501285198168278
one28171465012875146208
finite3060146501285191161200239301
number33961465012874144254322384431
to38621465012844114
another40121465012867137206246315378425
in44721465012844113
the46211465012843113176
system48321465012859129182221284393
of52581465012875122
natural5671707012870133172242289351389
numbers,9921707012897167277345408454509545
then,15721707012866135198267303
as19101707012890145
Nicholas209017070128130167230299370408471525
argues,26501707012891138207276339393428
we311317070128130191
cannot33391707012891154223293363401
stop37761707012883121191262
anywhere.40731707012891160230330400462509571607
Each471517070128114175238308
finite50591707012875113182222260323
number5671948012870141250318381428
in10301948012839109
the11741948012840109173
natural13821948012870132171240287350388
number18041948012871141250318381428
series22671948012855118164203265319
is2621194801283993
only27501948012870140179248
possible30321948012870141196250290359398460
if3528194801283985
there36481948012840109172219281
is3964194801283993
an40931948012862131
even42591948012863133195264
larger45591948012839101148217280327
number,49201948012870140250318381427463
even5672190012862133195265
if867219001283986
it988219001283877
is1101219001283792
only12272190012871141180250
one15102190012871141204
greater.17482190012870117179242280342389424
But8502431012894164203
as10892431012897150
we127524310128135197
continue15072431012897167237275315384454517
to20582431012873144
move223724310128144212282345
from26172431012881128198308
one295824310128104175238
number323024310128104175285352415462
to37272431012874144
another39072431012897166235275344407454
in43952431012873144
this45742431012874143182237
way,484624310128136198268302
we518324310128135197
immediately5672673012839149257318388428490529591630701
realize13012673012849111173212251314376
that17122673012840110173212
there19582673012841111173220283
is2275267301284195
an24052673012865134
infinite25742673012840111158196265305343405
number30142673012872142251319382429
that34782673012841112173212
cannot37262673012863125196265335374
be41352673012871134
obtained43042673012871141180243281351413483
by48232673012871147
adding50032673012865135204244313383
a5672914012862
unit6642914012879148188226
to9262914012847116
any10782914012870139210
finite1321291401285594165203243305
number,16602914012878148258326388435470
no21652914012878149
matter235729140128110170209248311358
how27502914012877146247
large30322914012847110156226288
it3355291401284886
may348529140128109169240
be.37582914012878141176
An397729140128102171
infinite41842914012847116164201272311349412
number46312914012878148257325388435
must510929140128109177233273
arise5673156012862109148202265
in8673156012862131
our10343156012892162209
minds127831560128132168239310365
through16783156012860130177248317387457
a21713156012885
certain22913156012884146192231293332402
kind27283156012893131202272
of30353156012893140
qualitative32103156012891162225263301341403441480550613
leap.38583156012860123186255290
We420431560128133193
cannot44323156012885147218288359398
increase,48653156012861131194241303365419482516
decrease,5673398012870133195242304366420483518
multiply,113933980128109177216256294365403474507
or16813398012889136
divide18523398012889129198238308370
this22573398012857128166220
infinity.25133398012858127174213283322361432465
Infinity30133398012865135183222291330369440
plus34863398012889129198253
one37753398012888158220
is40303398012858113
still41793398012872111150189228
infinity.44423398012858128175213283322360431470
Infinity49473398012865136183222292331370441
minus56736390128109146216287342
one9453639012871140203
is1183363901283994
also13133639012862101155225
infinity.15743639012839108155194264303342413446
Infinity20553639012847117165204273313351422
multiplied251236390128109177217256296365405443505575
by31233639012870140
one32973639012871141204
finite3536363901284887156195234297
number38683639012870140249318381428
or43313639012870117
another44833639012863132203241311374421
remains49393639012847110219279318388442
the5673880012839110172
same7753880012853115225285
infinity.10953880012839109157196265305343414447
And157738800128101171241
dividing18543880012870108179217287326396467
it2356388001283877
by24673880012870141
one26413880012870141204
finite2880388001284685155194233295
number32113880012870139249317379426
or36723880012870117
another38253880012862131201240310372419
has42793880012870133186
for45013880012847117164
its4700388001283877131
result48673880012847109163233271311
the52133880012838108170
same5674122012855117227287
infinity.8894122012844115162201272310349419453
Consequently,13834122012894164234289352421492554624662702772806
there22244122012844115177224287
is2546412201284498
an26804122012868138
absolute28544122012868137192261300371409472
maximum336741220128109169239279389457568
that39684122012845115178217
does42204122012876147209263
not45234122012875146184
suffer47434122012860129177223286332
from5111412201285299168277
any5674364012862133203
finite8044364012882121192230269332
operations.117143640128105175237284346384423494563618653
But,185943640128129199238274
being216843640128104167205276345
indivisible25494364012873144213252323361416455524564626
in32094364012875145
this33894364012875144183238
sense,36624364012889152221276338373
it40704364012875113
is42184364012874129
also43834364012896135189260
an46794364012896167
absolute48814364012897167221291330400439501
minimum.56746050128109146216256367435546578
The11804605012895165227
absolute14434605012871141197266306375415477
maximum196546050128109169239279388456567
and25654605012871142212
the28134605012848118179
absolute30284605012871141195266304375414476
minimum354946050128109146216256365433544
are41264605012872119182
one43434605012879149212
and45904605012871140211
the48364605012847117180
same.50514605012864127236296331
This5674846012886155195249
kind8514846012876115185255
of11424846012874121
reasoning12984846012853115176231301371410479549
by18824846012876147
Nicholas206848460128101140202273342382443498
of26024846012874121
Cusa27644846012894163217279
is3078484601284499
so32134846012859128
simple3377484601286099208276316378
and37904846012868139208
obvious40344846012874145215254324393448
that45184846012843114176215
no47684846012875144
modern495448460128109177254317363433
mathematician,56750870128109170209280343452512551590653692754824860
with146250870128138175214284
all17815087012899138176
their19935087012876145208246293
precise232150870128106153216278316370433
methods,278950870128146207246317386456511546
can33715087012897159230
object363550870128107177216278340378
to40495087012876145
Nicholas423050870128138177239308378417479534
of479950870128106153
Cusa's498750870128131200254317342395
teachings5675330012839102164226296335405474529
about11325330012862131201271310
infinity...14775330012839109156194264303341412445480515
<…>.20185330012879220299334
Secondly.8505571012878140203273343412452522556
Not144155710128101171211
only16875571012870140179250
does19715571012870141204258
Nicholas226455710128102140203272342381444497
of27975571012870117
Cusa29505571012894163217279
operate32655571012870140202249311350412
with371355710128101140178249
the39975571012839109172
concept42045571012862132202264326396435
of46745571012871118
infinity48265571012840109157194265304343414
in52735571012840109
a5675812012862
very6645812012879141188258
masterful96558120128109169224263326373420490528
way,153758120128101163233268
but18405812012878148188
he20635812012877140
also22385812012871110164233
masterfully251558120128109169224263326373419490529568638
characterizes31875812012870140203250312374413476523562623689743
the39665812012846116179
most418858120128110177232272
important44955812012847157225296343382444514552
types50835812012847117186248302
of5676054012870117
infinity.7196054012844113161199269308347418451
He120960540128102163
focuses14076054012852122185255309372425
primarily18686054012874121159269329376415454525
on24266054012875145
infinity26076054012843113160199269307347416
itself,3057605401284382137200239286322
i.e.,3414605401284277139175209
infinity36586054012843114161199269308347417
in41086054012844114
its4258605401284382137
purest44306054012874144191253308346
form.48126054012851120167276309
It5156605401285190
is5281605401284499
thought5676296012839110179249320389429
without103762960128101140178249318388428
its1499629601284684138
individual16736296012845115185224294333403473535573
elements,22826296012869107170279339409449504539
in28556296012845115
its3006629601284484138
purest31796296012876146193255310348
form,35626296012853124171280313
which391662960128102171211274343
means430162960128109169231302357
that46936296012845115177215
it4944629601284484
is50626296012846100
not51986296012876145184
actually5676537012862125164233296335374444
thought.10456537012850121191261331401440475
It1555653701285897
is16886537012849104
only18276537012882152191261
thought21226537012850121191261332401440
in25976537012851120
the27536537012850120183
form29716537012857131179288
of32926537012881128
unthinkability34566537012881152191261300370440503572611650688728797
and42886537012874144215
ignorance.45386537012851120190260308369439501563598
But51836537012893164202
already5676779012862101149211273342413
in10136779012844114
his11636779012873112167
first1364677901285190138191230
treatise,1629677901284490152213252292346409444
Nicholas211267790128101138201271341379442496
of26436779012875121
Cusa28036779012894163217280
called31186779012867129167205268337
it3491677901284382
not36086779012873143183
just38266779012843112167205
a40676779012867
treatise4168677901284289151214252291345408
on46116779012874143
ignorance,47906779012842113182252299361430493556591
but5677020012870141179
a78270200128107
treatise9247020012884131193254293332387449
on140870200128115185
learned16287020012883146207254324387456
ignorance21207020012883153223293340402471534596
("docta").27517020012892149219289351390453510557592
In33787020012892161
its35747020012883123177
pure378670200128115185231294
form,41157020012891161208317350
infinity45007020012884155202241311350389459
is49927020012885140
the51677020012883154216
coincidence5677262012862133172242305342412475545607669
of127172620128116163
all146872620128109148186
opposites,169072620128115186255325380418458520574610
coincidencia233572620128107178216286348387457520589651690752
oppositorum,312572620128115185256325379419457528574644754787
and394772620128108179248
in42317262012884155
this44207262012885155194249
sense470372620128101164233287350
it50887262012884124
is52467262012885139
unknowable.5677503012870141210280351453514583622685720
However,132675030128101171273334404466512547
this19087503012843114152206
is2150750301284397
not22837503012873143182
absolute25017503012865136190259299368408470
unknowability.30067503012873144213283354455517586625664703742813846
After389175030128102148187250296
all,42227503012866105145180
we444175030128102163
came46387503012867129239299
to49727503012843114
it5121750301284382
by52387503012874145