INTRODUCTION
We present here 79 synoptic maps of writings by Thomas Aquinas, and 42 of other related works.
These diagrams are the result of a statistical analysis produced using DB2 Intelligent Miner, donated by IBM through the IBM Academic Initiative.
We have applied a statistical procedure called Affinity analysis: mathematical algorithms applied to large databases to discover and to evaluate which elements are associated, and their mutual relations. These rules of association can be represented graphically, so that the colors and the size of the connecting arrows express the various statistical valuations in an intuitive manner.
Affinity analysis is applied here to frequent and meaningful words (lemmata) in the Index Thomisticus database that co-occur in sentences of single works. For indeed, all texts are formed of grammatical sentences that connect words; and when, in a work, two terms co-occur frequently in the same sentences, it is probable that they express a reiterated, and therefore important issue. As a result, the rules of association between the terms of a text give an idea of its frequently-occurring contents; and the corresponding graphic representation shows, as in a synoptic map, the main topics of the text analyzed.
We are here moving in the realm of probability and, therefore, it is important to evaluate the results in the same light. A priori, the longer a work is, the lower the probability that its words will co-occur in the same sentences by mere chance. As a result, and from this perspective, the method employed here has a higher validity the longer each text is. For this reason, the length of each analyzed work, measured by its total number of words, is given underneath each synoptic map.
The frequency with which each of the associated terms occurs is also relevant. In fact, a high frequency probably indicates a greater relative importance of the topic at hand. In these synoptic maps, the most frequent terms appear in orange, infrequent terms in blue, and intermediate cases in white.
Another significant statistical value is the frequency with which, in each text, the same two words appear in a single sentence. Technically, this is measured via a proportion called support: the number of sentences that show this co-occurrence, divided by the total number of sentences in the work. In the graphics that we present here, the support is represented by the color of the arrows: orange when greater, blue if lesser and white for intermediate cases.
Finally, the reliability of each association between terms is measured by the confidence value: it is the proportion of occurrences of a given term where it occurs with another term it is associated with. Confidence is represented by the width of the arrows: the wider the arrow, the greater the confidence that the association rule has.
|
|
|
OPERA MAIORA |
|
Scriptum super Sententiis |
Scriptum super Sententiis |
Super I Sententiarum |
Super II Sententiarum |
Super III Sententiarum |
Super IV Sententiarum |
|
Summa contra Gentiles |
Summa contra Gentiles |
|
Summa theologiae |
Summa theologiae |
Iª pars |
Iª-IIæ pars |
IIª-IIæ pars |
IIIª pars |
|
QUAESTIONES DISPUTATAE |
|
De spiritualibus creaturis |
De unione Verbi |
De potentia |
Q. de anima |
De malo |
De virtutibus |
|
|
OPUSCULA |
|
Opuscula philosophica |
De ente et essentia |
De principiis naturae |
De substantiis separatis |
|
Opuscula theologica |
Compendium theologiae |
Super Decretales |
De articulis Fidei |
De rationibus Fidei |
Principium Rigans montes |
|
Opuscula polemica pro mendicantibus |
Contra retrahentes |
De perfectione |
Contra impugnantes |
|
Censurae |
Contra errores Graecorum |
Nicholai de Crotone Liber de Fide Trinitatis |
De forma absolutionis |
|
Rescripta |
De regno |
Continuatio a Ptolomaeo de Luca |
Ad ducissam Brabantiae |
De emptione |
De operationibus occultis |
De iudiciis astrorum |
De mixtione elementorum |
De motu cordis |
De sortibus |
|
Responsiones |
De 6 articulis |
De 30 articulis |
De 36 articulis |
De 43 articulis |
De 108 articulis |
|
|
|
COMMENTARIA |
|
In Aristotelem |
Sententia libri Metaphysicae |
Sententia libri Ethicorum |
Expositio libri Posteriorum Analyticorum |
In libros Physicorum |
Expositio libri Peryermeneias |
Continuatio a Thoma de Vio Card. Cajetano |
In libros De caelo et mundo |
Continuatio a Petro de Alvernia |
In libros De generatione et corruptione |
Continuatio anonyma |
Sentencia super Meteora |
Inserta ex commentario anonymo |
Sententia libri Politicorum |
Continuatio a Petro de Alvernia |
|
In neoplatonicos |
Expositio libri Boetii De ebdomadibus |
Super Boetium De Trinitate |
In librum B. Dionysii De divinis nominibus expositio |
|
|
|
COMMENTARIA BIBLICA |
|
In Vetus Testamentum |
|
Super Iob |
Super Threnos Jeremiae |
|
|
In Novum Testamentum |
|
Catena aurea in Matthaeum |
Catena aurea in Marcum |
Super Ioannem |
|
In Epistolas S. Pauli |
Super Romanos |
Super II ad Corinthios |
Super Gal. |
Super Eph. |
Super Philip. |
Super Col. |
Super I Thes. |
Super II Thes. |
Super I Tim. |
Super II Tim. |
Super Tit. |
Super Philem. |
|
|
|
COLLATIONES |
|
In Symbolum Apostolorum |
Expositio Salutationis angelicae |
In orationem dominicam |
Insertum ex commentario Aldobrandini de Toscanella |
De decem praeceptis |
|
|
|
OPERA DUBIA AUTHENTICITATE |
|
De fallaciis |
De propositionibus modalibus |
Quaestio de immortalitate animae |
|
|
|
OPERA ALIQUA FALSE ADSCRIPTA THOMAE |
|
Opuscula |
|
Thomas de Sutton, De pluralitate formarum |
Thomas de Sutton (?), De principio individuationis |
Thomas de Sutton (?), De instantibus |
Thomas de Sutton (?), De natura generis |
Thomas de Sutton (?), De natura verbi intellectus |
Thomas de Sutton (?), De quatuor oppositis |
Thomas de Sutton (?), Concordantiae Pertransibunt plurimi |
Leonardus Pistoriensis, De praescientia et praedestinatione |
Aegidius de Lessinia, De usuris in communi |
Guillelmus Peraldus, De eruditione principum |
Helvicus Theutonicus, De dilectione Dei et proximi |
Matthaeus de Cracovia, De modo confitendi et puritate conscientiae |
Jacobus de Benevento, De adventu Antichristi |
Jacobus de Benevento, De praeambulis ad judicium |
|
Ignoti Auctores |
De intellectu et intelligibili |
De natura loci |
De natura materiae |
|
Commentaria philosophica |
|
Adamus de Buckfield |
In De somno et vigilia |
In De somniis |
In De divinatione per somnum |
|
Guillelmus Wheatley |
In Boethii De scholarium disciplina |
In Boethii De consolatione philosophiae |
|
Commentaria theologica |
|
Aldobrandinus de Toscanella, Super Pater noster, prima petitio |
Richardus de Wedinghausen, Expositio Missae |
|
S. Albertus Magnus Super Dionysium De divinis nominibus |
De pulchro et bono |
De fato |
|
Commentaria biblica |
|
Aegidius de Roma, In Canticum |
Haimo Altissiodorensis, In Canticum |
Johannis Michaelis, In Danielem |
Johannis Michaelis, In libros Machabaeorum |
Petrus de Scala, Super Matthaeum (fragmenta) |
Petrus de Tarantasia, Super I ad Corinthios cap. 7-10 |
Ignoti Auctoris Postilla in libros Geneseos |
© 2013 Fundación Tomás de Aquino Iura omnia asservantur L.D.V.Q.M. |