Chapter 137
Part VIII.
ZENO.
5 1 1
aSIs, as »«fs7 c«?V-V©-- The Right (or Nominative) Q/?, is fo called by the Stoicks, whom the Grammarians follow, becaufe it falleth direftly from the Notion which is in the Mind. Oblique Cajes are the Genitive, Dative, and Accufative.
A hAtrU
b LAert.
c Laert. Sext. Empir. adv.
Log. cap. de
veto, d Laert,
e Laefrt. A- pud. 'iki
CHAP. XX.
Of Simple. Axioms.
a
fBoet. in Cic. Top.
g Laert,
h Laert.
i Laert.
haert.
I Sext- E.tnp.
n Laert. Sext. Empir.
n Sext. Emp
Axiom is that which is either true or falfe, or a thing perfe£l by it lelf’ negative, or affimative, as far as it extends ^ or, (or accor¬ ding to Chryjtppt^., in his Dialeftick Definitions) axiom is that which affirmeth ordeniethas far as it extends-, as walketh. It is called Axiom ^ -ra d^t'S ther given to it or not: for he who faith, it is day, alfenteth thereunto. If it be day, the Axiom is true j if it be not, falfe.
b Of Axioms, the firft and moll proper diffe¬ rence is of thQ Simple.^ and not Simple (thus divi¬ ded by Chryfippus.^ and Archidemus., and Athe- nodorus.^ and Antipater^ and Crinis.)
c Simple axioms are thofe which confift nei¬ ther of one axiom twice taken, nor of different axioms, neither by oneormofeconjun£f:ionSi as, It is day.^ Pis at night Socrates Dyputes. d Of Ample axioms there are many kv[As.,Apophatick., or Negative, Arnetick.^ or Univerfally Negative^ Steretick.^ or Privative ^ Categorick.^ or praedica- tive-, or Indicative j indefinite diXA
mediate.
e axioms are thofe, in which a ne¬
gative particle is propofed^ as, If this is^ that is not. But if the negation be of the latter part of the axiom, the other part not being negative, then the axiom is not negative, but praedicative-.^ as ft hapneth to fome pleafure not to be good. This therefore declareth what hapneth to the thing, and therefore is prtcdicative. / A Species of ne¬ gative axiom,is the fupernegative,when, between the parts conncded and copulated by two affir¬ mations, a prepofition with a negation is inter- poled, and that very negation denied ^ asfifit is day^ it is not light. Of the fame kind are all thofe, wherein negation is propofed to negation ^ as, It is not both day^ and not day.
g Univerfally negative axioms are thofe, which confift of an univerfal negative particle, and a Categorem ^ as, no man voalketh.
h Rrivative are thofe which confift of a pri¬ vative particle, and an axiom in power, as, he is inhumane^
i Freedicative are thofe, which confift of a right Cafe and Categorem-, as, Dion voalketh.
k Indicative^ or I Definitive is that which confifts of a demonftrative right Cafe, and a Ca¬ tegorem 5 as, this man voalketh.
m Indefinite^ is that, which confifts of one or more indefinite particles-, as, a certain man walk- eth.^ he is moved.
, n Intermediate are of this kind, a man fitteth^ or a man voalketh : a certain man voalketh is inde¬ finite, for it determines no fingle perfon ^ that man fitteth is definite. Socrates fitteiJo, is inter¬ mediate j for it is not indefinite, becaufe it de¬ termines the Species i nor definite, becaufe it is not pronounced with demonftration, but it is in¬ termediate betwixt both.
0 An indefinite axiom, as, Jome one fitteth^ is o Sext. Emp. true, when the thing definite is true^ as foe /r- teth i but if none of the fingulars do fit, the in¬ definite axiom is not true, that fome one fitteth.
'N
d Laert.
CHAP. XXL
Of notfmple Axioms.
Ot fimple axioms are thofe, which are in _ a manner double, confifting of one axi- o Sext. Emp. om diverfified, or of axioms : of one axiom di- adv. Leg. de verfified^ 3S, ^ it be day it is day of axioms as.^ if it be day ^ Pis light.
b In not fimple axioms.^ that which immedi-i o ^ ately folio weth the conjun8;ion, if ot whereas^ a.fT log. Mp! is called the the firft ^ op the begin- d: vera.
ning', the reft is called the ending Confequence otfecond. Notwithftanding that the axiom be pronounced by inverljon ^ as. It is light if it be day-., for in this, the ending or confequence, is,z> is light, altho it be fpoken firft : the antecedent, it is day, altho it be put in the fecond place ^ for it immediately followeth the conjunftion if.
The Laws and Rules of Confequents are thefeic ixert,
