Käsittelen tässä artikkelissa Leibnizin käsitystä kuolemasta, jota ei tarkkaan ottaen ole olemassa. Kuoleminen on Leibnizin mukaan vain tila, jossa havaintomme eivät nouse tarkoiksi ja vaivumme ikäänkuin elottoman luonnon tasolle.

Hahmottelen tässä artikkelissa tekoälyn historiaa varhaismodernin filosofian aikakaudella 1600–1700-luvuilla. Esittelemäni aiheet ovat hieman erillisiä toisistaan, mutta yhteistä niille on ajatus komputaatiosta tai automaatiosta, eräänlaisesta mekaanisesta laskemisesta tai toiminnasta, jota voi pitää tekoälyn varhaisena lähtökohtana. -/- On kuitenkin huomattava, että pelkkä komputaatio eli informaation käsittely sinänsä ei riitä tekoälylle – kaikkia näitä pyrkimyksiä leimaa tietynlainen epistemologinen optimismi: automatisoidun ajattelun avulla uskotaan saatavan enemmän laadukasta tietoa ja kenties myös uudenlaisia ajatuksia, kun ajatteluprosessi tulee sujuvammaksi. Tekoälyn varhaishistoria liittyy siis nimenomaan inhimillisen ajattelun mekanisoimiseen (...) ja uskoon siitä, että sen avulla voidaan lieventää ihmismielen rajoituksia ja ajatella paremmin. Yhteistä sekä tekoälyn että tietokoneen historialle on kuitenkin laskennan kehitys. (shrink)

Kertomus Leibnizin kuolemasta / An account of the death of Leibniz.

Artikkeli Leibnizin ja Hobbesin harkinnasta ja tahdosta / An article on the views of deliberation and willing in Leibniz and Hobbes.

The advance of mechanism in science and philosophy in the 17th century created a great interest to machines or automata. Leibniz was no exception - in an early memoir Drôle de pensée he wrote admiringly about a machine that could walk on water, exhibited in Paris. The idea of automatic processing in general had a large role in his thought, as can be seen, for example, in his invention of the binary code and the so-called Calculemus!-model for solving controversies. In (...) metaphysics, the idea of an automata was expressed most clearly in the 1695 article New System of the Nature of Substances and their Communication, and the ensuing correspondence with, among others, Foucher, Bayle, Lamy, Jaquelot and Masham. In the article Leibniz discusses the soul as a spiritual machine in the context of pre-established harmony, arguing that God can "give to a substance at the outset a nature or internal force which could produce in it an orderly way (as in spiritual or formal automaton; but a free one, in the case of a substance which is endowed with a share of reason) everything that is going to happen to it, that is to say, all the appearances or expressions it is going to have, and all without the help of any created thing." The basic idea of Leibniz's spiritual machine is that the soul or entelechy is an autonomous and spontaneous unity, consisting of internal active force and producing its own perceptions (both confused and distinct). It is a self-moving machine, driven by its perceptions and appetites, but it follows (without being conscious of it) a lawful series or programme created by God. The entelechy remains the same despite undergoing an infinite number of changes. To Foucher he explained that each state of the individual substance is a consequence of its preceding one, "as if there were only God and the substance in the world". Despite this, the spiritual machine is related not only to God, but through the pre-established harmony to bodies or natural machines. However, as it is not dependent on them, the spiritual machine is superiot to natural machines. In this paper I concentrate on three moral themes related to the spiritual machine: moral deliberation, moral identity and the goal of moral action. All these themes are more or less implicit in the New System, but are discussed in more detail in the ensuing correspondence after the publication of the article. Finally, the themes are given an extended discussion especially in the second book of New Essays on Human Understanding (1704, published 1765), written partly at the same time as some of the correspondence and unpublished related material. I will first give an overview of Leibniz's position concerning the spiritual machine or automaton in the New System and then go on to explore the three moral themes one by one, as they feature in the subsequent correspondence and in the New Essays. I will show that the three topics are essential to the function of the spiritual machine – to Sophie Charlotte Leibniz wrote: "...let us say that everything in bodies happens mechanically, or in accordance with laws of motion, and that everything in the soul happens morally, or in accordance with perceived good or evil." There are many texts that anticipate the views in the New System (notably the unpublished memoir De Affectibus of 1679) and Leibniz continued to discuss its themes later on (in addition to correpondence, for example, in Theodicy of 1710 and Monadology and Principles of Nature and Grace of 1714). Here I focus on the short-term development of Leibniz's views on the topic (around 1695-1705), but I argue that his basic view of the spiritual machine did not change much after finishing the dialogue with Locke in 1704. (shrink)

This paper discusses the topic of weakenss of the will or akrasia in Leibniz, especially in the context of Nouveaux essais sur l'entendement humain. I argue that Leibniz can be seen as supporting both the weak and the strong forms of akrasia in book II of the work.

In his early lecture note Versuch einiger Betrachtungen über den Optimismus (1759) a young supporter of metaphysical optimism called Immanuel Kant tested the Leibnizian optimism by posing some counter-arguments against it only to falsify them. His counter-arguments were very inventive and they feature often in modern scholarship on Leibniz. In this paper I will present Kant’s main arguments and evaluate them. I will argue that Kant’s understanding on Leibnizian optimism is little misguided and for this reason his own positive counter-argument (...) despite its ingeniousness is problematic. His second solution to the problem is comparable to the doctrine of metaphysical optimism, but fails also for the same reason as the first one. -/- . (shrink)

In this study I discuss G. W. Leibniz's (1646-1716) views on rational decision-making from the standpoint of both God and man. The Divine decision takes place within creation, as God freely chooses the best from an infinite number of possible worlds. While God's choice is based on absolutely certain knowledge, human decisions on practical matters are mostly based on uncertain knowledge. However, in many respects they could be regarded as analogous in more complicated situations. In addition to giving an overview (...) of the divine decision-making and discussing critically the criteria God favours in his choice, I provide an account of Leibniz's views on human deliberation, which includes some new ideas. One of these concerns is the importance of estimating probabilities – in making decisions one estimates both the goodness of the act itself and its consequences as far as the desired good is concerned. Another idea is related to the plurality of goods in complicated decisions and the competition this may provoke. Thirdly, heuristic models are used to sketch situations under deliberation in order to help in making the decision. Combining the views of Marcelo Dascal, Jaakko Hintikka and Simo Knuuttila, I argue that Leibniz applied two kinds of models of rational decision-making to practical controversies, often without explicating the details. The more simple, traditional pair of scales model is best suited to cases in which one has to decide for or against some option, or to distribute goods among parties and strive for a compromise. What may be of more help in more complicated deliberations is the novel vectorial model, which is an instance of the general mathematical doctrine of the calculus of variations. To illustrate this distinction, I discuss some cases in which he apparently applied these models in different kinds of situation. These examples support the view that the models had a systematic value in his theory of practical rationality. (shrink)

This paper discusses Leibniz's views on apperception, especially in the context of this pseudo-dialogue with John Locke, An Essay Concerning Human Understanding. I emphasize the role of attention in the process of becoming conscious of a perception.

Human deliberation is a complicated and a difficult process. When forming moral judgement, various reasons inclinate the agent without necessitating him or her and the final result is more or less a compromise between these different spurs for action. Choosing right requires clear mind, good habits and strength of will. However, by a kind of self-manipulation moral development is possible. In my presentation, I shall discuss the forming of moral judgement in the intellect, consider the role of the passions in (...) deliberation and discuss how moral self-improvement takes place according to Leibniz in Nouveaux essais and Animadversiones in partem generalem Principiorum Cartesianorum. (shrink)

G. W. Leibniz developed a new model for rational decision-making which is suited to complicated decisions, where goods do not rule each other out, but compete with each other. In such cases the deliberator has to consider all of the goods and pick the ones that contribute most to the desired goal which in Leibniz’s system is ultimately the advancement of universal perfection. The inclinations to particular goods can be seen as vectors leading to different directions much like forces in (...) Leibniz’s dynamics. The vectorial model of rational decision-making is related to Leibniz’s work with metaphysical physics and the calculus of variations and is a heuristic tool which helps in finding reasonable combinations – in ideal cases optimums - between competing goods. By applying the model, the decision-maker can map and compare outcomes of combinations of goods in question and practice a kind of pseudo-mechanical arithmetic of reasons. A central feature of the model is the possibility to employ geometrical figures to help the conceptualization. In this paper I present the vectorial model, examine its applications in practical cases from political theory, jurisprudence and ethics Leibniz presented, and compare the model to recent theories of acting under uncertainty, such as bounded rationality and optimizing under constraints. (shrink)

Artikkelissaan ”The Balance of Reason” Marcelo Dascal on osoittanut, että metafora syiden punnitsemisesta järjen vaa’assa on yleinen Leibnizin kirjoituksissa ja sitä on pidettävä hänen yleisenä järkeilyn metodinaan tilanteissa, joissa ei voida suorittaa täydellistä loogista analyysiä. Keskustelen tässä esitelmässä tuosta metaforasta ja ehdotan Jaakko Hintikan ja Simo Knuuttilan aiempien esityksien pohjalle rakentaen, että käsityksissään ihmisen praktisesta rationaalisuudesta Leibniz sovelsi myös toista melko tuntemattomaksi jäänyttä heuristista päätöksentekomallia, joka liittyy hänen työhönsä luonnonfilosofiassa ja mielenfilosofiassa, ja jota hän sovelsi tapauksissa joissa päätökseen vaikuttavat arvot (...) ovat toisiaan täydentäviä. Tämä moniarvoisuuden huomioon ottava malli edustaa uudenlaista ja modernia ajattelua moraalifilosofian historiassa. (shrink)

Gottfried Wilhelm Leibnizia (1646–1716) on usein kutsuttu universaalineroksi. Luonnehdinta on varsin osuva ottaen huomioon Leibnizin intressien laajuuden, hänen luovan panoksensa monille eri aloille ja metafyysis-kulttuurisen vision, joka kajasti kaikkien hänen hankkeidensa, niin teoreettisten kuin käytännöllistenkin, taustalla. Leibniz tunnetaan nykyään ennen kaikkea filosofina ja matemaatikkona, mutta ei juurikaan siitä, että hän toimi suuren osan elämästään kahden eri kirjaston hoitajana: Hannoverin herttuallisen kirjaston ja edelleen maineikkaan, Wolfenbüttelissä sijaitsevan Herzog August Bibliothekin. Tämä katsausartikkeli esittelee Leibnizin kirjastouraa ja hänen kirjastonhoitoa koskevia näkemyksiään, jotka eivät (...) omana aikanaan olleet aivan tavanomaisia. Leibnizin universaalikäsityksen mukaan kirjasto ei nimittäin ole kirjoilla täytetty tila vaan heijastus koko inhimillisen tiedon tilasta. Artikkelissa luodaan katsaus aiheesta kirjoitettuun kansainväliseen tutkimuskirjallisuuteen ja Leibnizin kirjastonhoitoa käsitteleviin muistoihin. (shrink)

In §18 of Principles of Nature and Grace, Based on Reason, Leibniz says: ”Thus our happiness will never consist, and must never consist, in complete joy, in which nothing is left to desire, and which would dull our mind, but must consist in a perpetual progress to new pleasures and new perfections.” -/- This passage is typical in Leibniz’s Nachlass. Universal perfection creates in us joy or pleasure of the mind and its source is our creator, God. When this joy (...) is constant, we reach happiness and wisdom which is a kind of standing state of virtue, readiness to practice charity in the best of all possible worlds. However, it also indicates that our knowledge is never perfect. Perfecting our knowledge is a never-ending process which gives us joy in itself and motivates us to act in imitation of God. In this way some passions advance our knowledge and we can create ourselves a passionate habit of knowing more about the world and its perfection. In this paper I try to see this process of self-perfection from a cognitive rather than ethical point of view. While it is clear that in the final stage of wisdom we act mostly on our volitions which are founded on clear and distinct perceptions, it is less clear what cognitive status is to be attributed to our initial perceptions of perfection, our emotions and finally, the intellectual emotions which lead us to perfection and God. I will also reflect the role of the minute perceptions in our struggle for happiness. My argument is that a central cognitive role in Leibniz’s views on self-perfection is held by clear, but confused perfections which are subjective, undemonstrable impressions, shades, feelings. Therefore our ethical action is largely founded on passing, minute feelings rather than on deliberated conscious volitions, although the goal in Leibniz’s moral theory is to change this fact. -/- My discussion is founded on several texts from Leibniz’s later philosophy, such as the discussion following from New System of the Nature and the Communication of Substances of 1695, Leibniz’s letter to Queen Sophie Charlotte of 1702 (also known as On What is Independent in Sense and Matter), New Essays on Human Understanding (1704), Theodicy (1710) and naturally Leibniz’s most important epistemological text, Meditations of Truth, Knowledge and Ideas (1684). (shrink)

The famous philosopher Leibniz (1646-1716) was also active in the (cultural) politics of his time. His interest in forming scientific societies never waned and his efforts led to the founding of the Berlin Academy of Sciences. He also played a part in the founding of the Dresden Academy of Science and the St. Petersburg Academy of Science. Though Leibniz's models for the scientific society were the Royal Society and the Royal Science Academy of France, his pansophistic vision of scientific cooperation (...) sometimes took on utopian dimensions. In this paper, I will present Leibniz's ideas of scientific cooperation as a kind of religious activity and discuss his various schemes for the founding of such scientific societies. (shrink)

Leibniz frequently argued that reasons are to be weighed against each other as in a pair of scales, as Professor Marcelo Dascal has shown in his article "The Balance of Reason." In this kind of weighing it is not necessary to reach demonstrative certainty – one need only judge whether the reasons weigh more on behalf of one or the other option However, a different kind of account about rational decision-making can be found in some of Leibniz's writings. In his (...) article "Was Leibniz's Deity an Akrates?" Professor Jaakko Hintikka has argued that Leibniz developed a new vectorial model for rational decisions which is better suited to complicated decisions, where values are complementary to each other. This model, related closely to his work in metaphysics and the philosophy of mind, is a heuristic device which helps in finding rational combinations - and in an ideal case an optimum - between plural inclinations to the good. I shall argue that Leibniz applies more or less implicitly both of these models in his practical rationality. In simple situations he applied the pair of scales model and in more complicated situations he applied the vectorial model. (shrink)

will give an overview of the fascinating communication between G. W. Leibniz and Pierre Bayle on pre-established harmony and sudden change in the soul which started from Bayle’s footnote H to the article “Rorarius” in his Dictionnaire historique et critique (1697) and ended in 1706 with Bayle’s death. I will compare the views presented in the communication to Leibniz’s reflections on the soul in his partly concurrent Nouveaux essais sur l’entendement humain (1704) and argue that many topics in the communication (...) with Bayle are discussed with more details in Nouveaux essais. I also argue that the communication helped Leibniz to respond to Locke’s views concerning uneasiness in An Essay Concerning Human Understanding, II, xxi. Bayle himself, however, was not able to completely understand Leibniz’s views on spontaneity as he was unaware of the contents of the Nouveaux essais, especially the systematic role of petites perceptions in Leibniz’s philosophy of mind. I will also reflect on whether the controversy could have ended in agreement if it would have continued longer. (shrink)

G. W. Leibniz famously proclaimed that this is the best of all possible worlds. One of the properties of the best world is its increasing perfection. He gave a prominent role in his discussion of emotions to hope which is related to intellectual activity such as curiosity and courage which again is essential for the practice of science and promoting the common good. Leibniz regarded hope as a process where minute perceptions in the mind, that is, unconscious promises or signs (...) of a future pleasure of the mind or joy may accumulate to an expectation which we became aware of, the passion of hope. Related to a moral instinct of striving for joy and avoiding sorrow, hope motivates us to promote perfection which produces joy in us and eventually leads to happiness. (shrink)

In this paper I will discuss the doctrine of substance which emerges from Leibniz’s unpublished early memoir De affectibus of 1679. The memoir marks a new stage in Leibniz’s views of the mind. The motivation for this change can be found in Leibniz’s rejection of the Cartesian theory of passion and action in the 1670s. His early Aristotelianism and some features of Cartesianism persisted to which Leibniz added influences from Hobbes and Spinoza. His nascent dynamical concept of substance is seemingly (...) a combination of old and fresh influences, representing a characteristically eclectic approach, but I will argue that the influence of Hobbes is especially important in the memoir. To do that, I will examine Leibniz’s development in the 1670s up to the De affectibus and consider the nature of affects in the memoir, especially the first affect which starts the thought sequence. This first affect of pleasure or pain is the key to Leibniz’s theory of active substances and in this way to the whole of Leibniz’s moral psychology and ethical metaphysics. (shrink)

The topic of disinterested love became fashionable in 1697 due to the famous amour pur dispute between Fénelon (1651-1715) and Bossuet (1627-1704). It soon attracted the attention of Electress Sophie of Hanover (1630-1714) and she asked for an opinion about the dispute from her trusted friend and correspondent, the Hanoverian councilor Gottfried Wilhelm Leibniz (1646-1716). This gave Leibniz an opportunity to present his views on the matter, which he had developed earlier in his career (for example, in Elementa juris naturalis (...) of 1671 and Codex iuris gentium of 1693). In his 1697 letter to Sophie he did not explicitly take sides in the dispute, but formulated his own views on the topic in a theological manner, aiming to provide an account of disinterested love which would surpass the doctrines of both French theologians. In addition to presenting Leibniz’ early views on disinterested love and examining this alternative formulation of his views on love, I will show that after the letter Leibniz gave this alternative perspective up and returned to his earlier, more philosophical views on the topic, which suggests that he regarded them to be superior to the theological version, where the virtue of charity was related to the virtue of hope. (shrink)

In New Essays on Human Understanding, book II, chapter xxi Leibniz presents an interesting picture of the human mind as not only populated by perceptions, volitions and appetitions, but also by endeavours. The endeavours in question can be divided to entelechy and effort; Leibniz calls entelechy as primitive active forces and efforts as derivative forces. The entelechy, understood as primitive active force is to be equated with a substantial form, as Leibniz says: “When an entelechy – i.e. a primary or (...) substantial endeavour – is accompanied by perception, it is a soul” (NE II, xxi, §1; RB, 170). What about efforts, then? One is certainly the will. In NE, II, xxi, §5 Leibniz argues that volition is the effort (conatus) to move towards what one finds good and away from what one finds bad and that this endeavor arises from the perceptions we are aware of. As an endeavour results in action unless it is prevented, from will (which is always directed to the good) and power together follows action. However, this is not so simple. Leibniz argues that there is also a second class of efforts: “There are other efforts, arising from insensible perceptions, which we are not aware of; I prefer to call these ‘appetitions’ rather than volitions” (NE II, xxi, §5; RB, 173). Although there are appetitions of which one can be aware, usually these appetitions arise from the insensible petite perceptions and are consequently affecting us subconsciously. Now, although all minute perceptions are confused perceptions, they are always related to pleasure and displeasure and also to perfection and imperfection. From this follows that there can be different efforts present in the soul at the same time: the will which is directed to apperceived good and several separate appetitions which lead to different goals, both to those which bring about perfection and pleasure of the mind (joy) and those which bring about displeasure and imperfection (sorrow). These efforts are not only in conflict with each other but may also be in conflict with entelechy. A typical case is perceiving a sensual pleasure. Our entelechy which is always directed to final causes (perfection) may be in conflict with several different appetitions which are related in different ways to the sensual pleasure in question. If our understanding is developed enough, our will resists the temptation posed by the pleasure (agreeing with entelechy), but if the temptation is too strong, the appetitions outweigh the will and the resulting action bring about imperfection and sorrow as it is related to imperfection. In this paper I will argue that deliberation in the human soul is a battle of different endeavors described above: the entelechy in the soul strives according to its law-of-the-series towards its telos (perfection) and the will accompanies it by being automatically directed to the good. This thrust towards the apparent good is aided or hindered by the appetitions which can be thought as derivative forces in the Leibnizian dynamics. Depending on whether the predominant appetitions are related to good or bad desires, the deliberation succeeds or fails in achieving the real good which is the goal of human deliberation. The successs can be facilitated beforehand by developing our understanding so that we are less easily swept away by the derivative forces (NE II, xxi, §19). A central role in this task is played by strong willing. As Martha Bolton has noted in her recent paper, an essential feature of the basic, standing endeavors is that they are continuous – although the power balance in the soul changes from moment to moment, something lingers from our previous volitions. That is why Leibniz argues that we pave way for the future deliberations by our previous voluntary actions (NE II, xxi, §23). In contrast, the appetitions are temporary, fliegende Gedanken as Leibniz says in NE II, xxi, §12. Therefore there is a constant, always changing power balance between two kinds of endeavors in the soul: primitive active force versus derivative forces. I will argue that the behavior of the forces in the soul can be understood with a vectorial model which is related to Leibniz’s early ideas of calculus of variations and which was anticipated by Arnauld and Nicole’s Port-Royal Logic. The central idea in the model is that the options are in tension towards each other and the ratio between them at each moment determines the consequent outcome. The proper relationship between the endeavors is not a simple balance, two options which exhaust each other, but a case where different efforts complement each other: “Since the final result is determined by how things weigh against one another, I should think it could happen that he most pressing disquiet did not prevail; for even If it prevailed over each of the contrary endeavours taken singly, it may be outweighed by all of them together.” Leibniz continues : “Everything which then impinges on us weighs in the balance and contributes to determining a resultant direction, almost as in mechanics” (NE II, xxi, §40; RB, 193). The different endeavors can be understood as vectors leading to different directions and the end result is a certain direction that deliberation takes. The dynamical tension between the different endeavors presents a situation where everything affects everything and the following direction, the resulting volition follows more or less automatically. In Theodicy, §325 Leibniz describes the deliberation as follows: “One might, instead of the balance, compare the soul with a force that puts forth an effort on various sides simultaneously, but which acts only at the spot where action is easiest or there is least resistance” (Huggard, 322) This kind of dynamical tension can be understood in terms of the calculus of variations where there are several possible variations available but where the dynamics of the situation results in the decision taking the “easiest” route which is more or less objectively good depending on the level of the deliberator’s understanding. In his comments to Bayle’s note L of “Rorarius” Leibniz says: “The soul, even though it has no parts, has within it, because of the multitude of representations of external things, or rather because of the representation of the universe lodged within it by the creator, a great number, or rather an infinite number, of variations (Woolhouse & Francks (ed.), ‘New System’ and Associated Texts, 101). This kind of deliberation is comparable to God’s choice of the best world with the difference that God’s understanding is infinite which again results in the fact that the choice is the best possible. Whereas in nature the easiest route taken is always optimal as nature is God’s creation, in men the goodness or badness of men’s actions is dependent on their state of wisdom, that is, how developed their understanding is. The more wise men are, the more metaphysical goodness or perfection follows from their actions. (shrink)

In New Essays on Human Understanding, book II, chapter xxi Leibniz presents an interesting picture of the human mind as not only populated by perceptions, volitions and appetitions, but also by endeavours. The endeavours in question can be divided to entelechy and effort; Leibniz calls entelechy as primitive active forces and efforts as derivative forces. The entelechy, understood as primitive active force is to be equated with a substantial form, as Leibniz says: “When an entelechy – i.e. a primary or (...) substantial endeavour – is accompanied by perception, it is a soul” (NE II, xxi, §1; RB, 170). What about efforts, then? One is certainly the will. In NE, II, xxi, §5 Leibniz argues that volition is the effort (conatus) to move towards what one finds good and away from what one finds bad and that this endeavor arises from the perceptions we are aware of. As an endeavour results in action unless it is prevented, from will (which is always directed to the good) and power together follows action. However, this is not so simple. Leibniz argues that there is also a second class of efforts: “There are other efforts, arising from insensible perceptions, which we are not aware of; I prefer to call these ‘appetitions’ rather than volitions” (NE II, xxi, §5; RB, 173). Although there are appetitions of which one can be aware, usually these appetitions arise from the insensible petite perceptions and are consequently affecting us subconsciously. Now, although all minute perceptions are confused perceptions, they are always related to pleasure and displeasure and also to perfection and imperfection. From this follows that there can be different efforts present in the soul at the same time: the will which is directed to apperceived good and several separate appetitions which lead to different goals, both to those which bring about perfection and pleasure of the mind (joy) and those which bring about displeasure and imperfection (sorrow). These efforts are not only in conflict with each other but may also be in conflict with entelechy. A typical case is perceiving a sensual pleasure. Our entelechy which is always directed to final causes (perfection) may be in conflict with several different appetitions which are related in different ways to the sensual pleasure in question. If our understanding is developed enough, our will resists the temptation posed by the pleasure (agreeing with entelechy), but if the temptation is too strong, the appetitions outweigh the will and the resulting action bring about imperfection and sorrow as it is related to imperfection. In this paper I will argue that deliberation in the human soul is a battle of different endeavors described above: the entelechy in the soul strives according to its law-of-the-series towards its telos (perfection) and the will accompanies it by being automatically directed to the good. This thrust towards the apparent good is aided or hindered by the appetitions which can be thought as derivative forces in the Leibnizian dynamics. Depending on whether the predominant appetitions are related to good or bad desires, the deliberation succeeds or fails in achieving the real good which is the goal of human deliberation. The successs can be facilitated beforehand by developing our understanding so that we are less easily swept away by the derivative forces (NE II, xxi, §19). A central role in this task is played by strong willing. As Martha Bolton has noted in her recent paper, an essential feature of the basic, standing endeavors is that they are continuous – although the power balance in the soul changes from moment to moment, something lingers from our previous volitions. That is why Leibniz argues that we pave way for the future deliberations by our previous voluntary actions (NE II, xxi, §23). In contrast, the appetitions are temporary, fliegende Gedanken as Leibniz says in NE II, xxi, §12. Therefore there is a constant, always changing power balance between two kinds of endeavors in the soul: primitive active force versus derivative forces. I will argue that the behavior of the forces in the soul can be understood with a vectorial model which is related to Leibniz’s early ideas of calculus of variations and which was anticipated by Arnauld and Nicole’s Port-Royal Logic. The central idea in the model is that the options are in tension towards each other and the ratio between them at each moment determines the consequent outcome. The proper relationship between the endeavors is not a simple balance, two options which exhaust each other, but a case where different efforts complement each other: “Since the final result is determined by how things weigh against one another, I should think it could happen that he most pressing disquiet did not prevail; for even If it prevailed over each of the contrary endeavours taken singly, it may be outweighed by all of them together.” Leibniz continues : “Everything which then impinges on us weighs in the balance and contributes to determining a resultant direction, almost as in mechanics” (NE II, xxi, §40; RB, 193). The different endeavors can be understood as vectors leading to different directions and the end result is a certain direction that deliberation takes. The dynamical tension between the different endeavors presents a situation where everything affects everything and the following direction, the resulting volition follows more or less automatically. In Theodicy, §325 Leibniz describes the deliberation as follows: “One might, instead of the balance, compare the soul with a force that puts forth an effort on various sides simultaneously, but which acts only at the spot where action is easiest or there is least resistance” (Huggard, 322) This kind of dynamical tension can be understood in terms of the calculus of variations where there are several possible variations available but where the dynamics of the situation results in the decision taking the “easiest” route which is more or less objectively good depending on the level of the deliberator’s understanding. In his comments to Bayle’s note L of “Rorarius” Leibniz says: “The soul, even though it has no parts, has within it, because of the multitude of representations of external things, or rather because of the representation of the universe lodged within it by the creator, a great number, or rather an infinite number, of variations (Woolhouse & Francks (ed.), ‘New System’ and Associated Texts, 101). This kind of deliberation is comparable to God’s choice of the best world with the difference that God’s understanding is infinite which again results in the fact that the choice is the best possible. Whereas in nature the easiest route taken is always optimal as nature is God’s creation, in men the goodness or badness of men’s actions is dependent on their state of wisdom, that is, how developed their understanding is. The more wise men are, the more metaphysical goodness or perfection follows from their actions. (shrink)

In his defense of innateness in New Essays on Human Understanding (1704), Leibniz attributes innateness to concepts and principles which do not originate from the senses rather than to the ideas that we are born with. He argues that the innate concepts and principles can be known in two ways: through reason or natural light (necessary truths), and through instincts (other innate truths and principles). In this paper I will show how theoretical and moral reasoning differ from each other in (...) Leibniz, and compare moral reasoning and instincts as sources of knowledge in his practical philosophy. As the practical instincts are closely related to pleasure and passions, which are by nature cognitive, my emphasis will be on the affective character of instinctive moral action and especially deliberation which leads to moral action. I will argue that inclinations arising from moral instinct, which lead us to pleasure while avoiding sorrow, can direct our moral action and sometimes anticipate reasoning when conclusions are not readily available. Acting by will, which is related to moral reasoning, and acting by instincts can lead us to the same moral knowledge independently, but they can also complement each other. To illustrate the two alternative ways to reach moral knowledge, I will discuss the case of happiness, which is the goal of all human moral action for Leibniz. (shrink)

Chapter 20 of book II of John Locke’s An Essay Concerning Human Understanding, titled ‘Of Modes of Pleasure and Pain’ is the most extensive discussion of emotions available in Locke’s corpus. Likewise, Nouveaux essais sur l’entedement humain, II, xx, together with the following chapter xxi remains the chief source of Leibniz’s views of emotions. They offer a very interesting and captivating discussion of moral philosophy and good life. The chapter provides also a great platform to study Leibniz’s argumentative techniques and (...) the differences between the philosophers in general. Locke strives to explain the emotions with a single, unifying notion of uneasiness while Leibniz’s view of the mind is much more complex and he finds more unique ways of explaining different emotions. My paper focuses on Leibniz’s critique of Lockean uneasiness as an explanans for emotions. He views uneasiness as a unavoidable part of all our mental states and therefore it is not sufficient to explain passions or moral wrong-doing of men. I will discuss such passions as love, joy, sorrow, hope, fear, despair, anger, envy and shame and consider Locke’s possible response to Leibniz’s critique. (shrink)

Descartes argued that the passions of the soul were immediately felt in the body, as the animal spirits, affected by the movement of the pineal gland, spread through the body. In Leibniz the effect of emotions in the body is a different question as he did not allow the direct interaction between the mind and the body, although maintaining a psychophysical parallelism between them. -/- In general, he avoids discussing emotions in bodily terms, saying that general inclinations, passions, pleasures and (...) pains belong only to the mind or to the soul (NE II, xxi, §72). He is also keen to point out that our passions derive mostly from our bodies. However, like Spinoza (Ethics III, prop. XI, Scholium) he thought that some emotions such as joy can produce pleasures which can be described also in bodily terms. For example, in a short memoir Felicity he says that music can be a pleasure for the ears and symmetry can be a pleasure for the eyes. These more intellectual emotions are actions in the sense that they represent perfection emanating from their source, the absolutely perfect being, that is, God. The feeling of perfection may produce a state of well-being which concerns both the soul and the body. -/- In my paper I will trace instances of Leibniz’s remarks on how these kind of emotions affect the body. I will also discuss the different ways the body gives rise to passions in the soul. My primary source is Nouveaux essais, book II, chapter xx and xxi, but I will also discuss various other writings by Leibniz. (shrink)

One of the features of John Locke’s moral philosophy is the idea that morality is based on our beliefs concerning the future good. In An Essay Concerning Human Understanding II, xxi, §70, Locke argues that we have to decide between the probability of afterlife and our present temptations. In itself, this kind of decision model is not rare in Early Modern philosophy. Blaise Pascal’s Wager is a famous example of a similar idea of balancing between available options which Marcelo Dascal (...) has discussed in his important 2005 article “The Balance of Reason”. -/- Leibniz, however, was not always satisfied with this kind of simple balancing. In his commentary to Locke’s Essay, Nouveaux essais sur l’entendement humain, II, xxi, §66, he presented an alternative model which is based on an idea of plural, mutually conflicting inclinations. This kind of model, called as vectorial theory of rational decision by Simo Knuuttila, fits well with Leibniz’s theory of the soul where volitions are formed as a kind of compromise between different inclinations to different goods. -/- I will present these two models and show how they illustrate the practical rationality of Locke and Leibniz and how their moral philosophies differ, although being similar in certain respects. The topics include Leibniz’s criticism of Lockean hedonism and the discussion of akratic behaviour in II, xxi of Essay and Nouveaux essais. (shrink)

Kertomus René Descartesin kuolemasta / An account of the Death of René Descartes.

Julkaisematta jääneessä muistiossaan Mietteitä oikeuden yleiskäsitteestä (1702-1703?) G. W. Leibniz muotoilee uudelleen Platonin Euthyfron-dialogissa esitetyn kuuluisan kysymyksen. Hän kirjoittaa: ”Myönnetään, että kaikki mitä Jumala tahtoo, on hyvää ja oikein. Sen sijaan kysytään, onko se hyvää ja oikein siksi että Jumala niin tahtoo, vai tahtooko Jumala sitä koska se on hyvää ja oikein. Eli kysytään, onko hyvyys tai oikeus jotakin mielivaltaista, vai koostuvatko ne asioiden luonnetta koskevista välttämättömistä ja ikuisista totuuksista, kuten luvut ja suhteet.” Universaaleja, ikuisia totuuksia puolustava filosofi ei voi (...) hyväksyä ensin mainittua vaihtoehtoa. Hänen mukaansa ”Se toden totta tuhoaisi Jumalan oikeudenmukaisuuden. Sillä miksi ylistäisimme häntä oikeudenmukaisista teoista, jos oikeudenmukaisuuden käsite ei hänen tapauksessaan lisää mitään teon käsitteeseen? Ja sanonta stat pro ratione voluntas, minun tahtoni käyköön perusteesta, on todella tyrannin motto.” Leibnizin kritiikki on suunnattu erityisesti hänen aikalaisiaan René Descartesia, Thomas Hobbesia ja Samuel Pufendorfia vastaan. Hän ei voi hyväksyä näkemystä, jonka mukaan oikeudenmukaisuuden mitta on vain Jumalan tahto. Perustan on löydyttävä ikuisista totuuksista, jotka ovat myös Jumalan oikeudenmukaisuuden standardi. Erityisen kuuluisaksi tuli Leibnizin kritiikki Pufendorfin näkemyksiä kohtaan, sillä Pufendorfin laajalle levinneen teoksen De officio hominis et civis ranskalaisen laitoksen neljännen painoksen toimittaja Barbeyrac liitti siihen Leibnizin kiistakirjoituksen, joka tunnetaan lyhyellä nimellä Monita (Epistola viri excellentissimi ad amicum qua monita quaedam ad principia Pufendorfiani operis de officio hominis et civis continentur, 1706) ja puolusti Pufendorfia Leibnizia vastaan. Leibnizin onnistui kuitenkin ilmeisesti osoittaa eräs heikkous Pufendorfin näkemyksissä, jota Barbeyrac ei pystynyt sivuuttamaan: tämän mukaan Jumala on saman aikaan sekä ylin tuomari että lakien laatija. Siten Leibnizin näkökulmasta Jumala on tyranni – hänen tahtonsa on oikeuden ja etiikan mitta ja koska hän on kaikkivaltias, hän voi pakottaa ihmiset noudattamaan sellaista oikeudenmukaisuutta, joka on hänen mieleistään. Koska Jumalan yläpuolella ei ole Pufendorfin mukaan mitään, hän voi toimia aivan mielivaltaisesti. Leibnizin kritiikki kiteytyy Pufendorfin epäselvään erotteluun ulkoisen ja sisäisen velvollisuuden välillä, joka jättää hänen näkemyksensä arvoitukselliseksi. Tutkiskelen tässä esitelmässä oliko Leibnzin kritiikki johdonmukainen ja oikeutettu. Onko Pufendorfin näkemyksissä heikkous, jota hän ei itse huomannut? Vertailen myös asiaa koskevia eri kommentaareja (mm. Kari Saastamoinen, Petter Korkman, Fiametta Palladini) ja arvioin Leibnizin kritiikin reseptiota Pufendorf-tutkimuksessa. (shrink)

Leeuwenhoekin kokeilut mikroskoopilla 1600-luvun lopulla olivat G. W. Leibnizille suuri innoituksen lähde. Monadologia-teoksessaan Leibniz hehkutti keksinnön merkitystä ja antoi ymmärtää, että sillä löydetyt pikkuruiset eliöt todistivat hänen metafyysisen pluralisminsa oikeaksi. Hänen mukaansa "huomataan, että pienimmässäkin osasessa ainetta on kokonainen elävien olioiden, eläinten, entelekhioiden ja sielujen maailma." Näin Leibnizin ajatus elämän jatkumosta sai uutta pontta. -/- Keksinnön vaikutus näkyy myös Leibnizin teoksessa Uusia esseitä inhimillisestä ymmärryksestä, jossa hän esittelee pienet perseptiot, joita voidaan pitää tietoteoreettisena vastineena pieneliöille. -/- Tarkastelen esitelmässäni Leibnizin reaktioita (...) mikroskooppiin ja sen antamaan uuteen kuvaan elämästä ja keskustelen joistakin Leibnizin filosofian piirteistä, joissa voidaan huomata uuden keksinnön vaikutusta. -/- An article on the continuum of life in Leibniz's philosophy. (shrink)

G. W. Leibnizin mielenfilosofiassa ymmärrykselle on jatkuvasti läsnä erilaisia taipumuksia erilaisiin päämääriin. Nämä taipumukset tai syyt toimia jollakin tavoin saattavat perustua selviin ja tarkkoihin havaintoihin ja olla tiedostettuja ennakkotahtomuksia. Näiden lisäksi mielessämme on epälukuinen määrä epäselviin havaintoihin perustuvia tiedostamattomia ja hetkittäisiä passioita, oikkuja tai hurahduksia. Kun henkilö ryhtyy harkitsemaan toimintaansa, nämä erilaiset taipumukset ja ennakkotahtomukset alkavat ottaa mittaa toisistaan. Prosessin tuloksena on lopullinen tahtomus tai riittävä syy. Kun ymmärrys on muodostanut suosituksen, tahto seuraa Leibnizin mukaan sitä ja toteuttaa ao. toiminnan. (...) -/- Ideaalitapauksessa ymmärryksen suositus on optimi näistä eri suuntiin johtavista syistä. Tavallisesti kyseessä on kuitenkin kompromissi, joka johtuu epäselvien havaintojen häiritsevästä vaikutuksesta harkintaan. Mitä paremmin ymmärrys toimii ja mitä tarkempia havainnot ovat, sen parempi on ymmärryksen toimintasuositus ja sita vahvemmalla ovat selvän ja tarkan joukkue epäselvän joukkuetta vastaan. Kuvaan esitelmässäni ylläolevan tilanteen ja tarkastelen tapoja, jolla agentti voi vaikuttaa toimintaansa. Vertailen myös pikaisesti Hobbesin ja Leibnizin näkemyksiä riittävästä syystä. (shrink)

A postprint-version of the review is available in PhilPapers.

According to Leibniz, there is no death in the sense that the human being or animal is destroyed completely. This is due to his metaphysical pluralism which would suffer if the number of substances decreased. While animals transform into other animals after “death”, human beings are rewarded or punished of their behavior in this life. This paper presents a comprehensive account of how Leibniz thought the “death” to take place and discusses his often unclear views on the life after death. (...) I will also present a new, naturalistic reading of Leibniz’s views on afterlife. (shrink)

This article (in Finnish) discusses Seppo Albert Kivinen's (1933-2021) views on identity and existence conditions of universals. Moreover, the article puts the views to larger context.

In this paper, we argue for a novel three-dimensionalist solution to the problem of persistence, i.e. cross-temporal identity. We restrict the discussion of persistence to simple substances, which do not have other substances as their parts. The account of simple substances employed in the paper is a trope-nominalist strong nuclear theory, which develops Peter Simons' trope nominalism. Regarding the distinction between three dimensionalism and four dimensionalism, we follow Michael Della Rocca's formulation, in which 3D explains persistence in virtue of same (...) entities and 4D in virtue of distinct entities. SNT is a 3D'ist position because it accounts for the persistence of simple substances in virtue of diachronically identical ‘nuclear’ tropes. The nuclear tropes of a simple substance are necessary for it and mutually rigidly dependent but distinct. SNT explains qualitative change by tropes that are contingent to a simple substance. We show that it avoids the standard problems of 3D: temporal relativization of ontic predication, Bradley's regress and coincidence, fission and fusion cases. The temporal relativization is avoided because of the analysis of temporary parts that SNT gives in terms of temporal sub-location, which is atemporal part–whole relation. (shrink)

Is it possible to get by with just one ontological category? We evaluate L.A. Paul's attempt to do so: the mereological bundle theory. The upshot is that Paul's attempt to construct a one category ontology may be challenged with some of her own arguments. In the positive part of the paper we outline a two category ontology with property universals and kind universals. We will also examine Paul's arguments against a version of universal bundle theory that takes spatiotemporal co-location instead (...) of compresence or coinstantiation as the feature by which we can identify genuine bundles. We compare this novel theory, bundle theory with kinds, and Paul's mereological bundle theory and apply them to a case study concerning entangled fermions and co-located bosons. (shrink)

In this chapter, we provide an opinionated introduction to contemporary trope bundle theories of substance. We assess different trope bundle theories on the grounds of their two main aims: to provide an adequate account of substances or objects by means of tropes and a reductive analysis of inherence, that is, object's having tropes as their properties. Our discussion begins by a presentation of Donald C. Williams’ and Keith Campbell's paradigmatic trope theories, which maintain that tropes are independent existents. After highlighting (...) the central problems of paradigmatic trope theories, we discuss two more recent developments of trope bundle theory that also take non-relational tropes as independent existents, Anna-Sofia Maurin's and Douglas Ehring's independence theories. Finally, we present two alternative trope bundle theories, according to which tropes are dependent existents, dependence theories, namely, Arda Denkel's Saturation theory and our Strong Nuclear Theory (SNT). Although the latter two theories introduce existential dependencies among tropes, we argue that dependence theories provide a more satisfactory account of substances dividing into natural kinds than independence theories. (shrink)

According to Lowe’s Four-Category Ontology, the general nature of the entities belonging to the four fundamental categories is determined by the basic formal ontological relations (instantiation and characterization) that they bear to other entities. I argue that, in closer analysis, instead of one formal relation of characterization, this category system introduces two, one connecting particulars and another universals. With regard to the characterization relation connecting particulars, it remains an open issue whether it would need further analysis. By contrast, the status (...) of instantiation as an internal relation is comparatively clear. Nevertheless, because of holding by virtue of the essences of particulars, the holding of instantiation between universals and particulars rules out the possibility of kind change and entails that particulars are essentially rigidly dependent on universals. Finally, Lowe’s analysis of necessary exemplification gives us some reasons to suspect that some property universals need not have any instances in order to exist. (shrink)

In this article, we present a new conception of internal relations between quantity tropes falling under determinates and determinables. We begin by providing a novel characterization of the necessary relations between these tropes as basic internal relations. The core ideas here are that the existence of the relata is sufficient for their being internally related, and that their being related does not require the existence of any specific entities distinct from the relata. We argue that quantity tropes are, as determinate (...) particular natures, internally related by certain relations of proportion and order. By being determined by the nature of tropes, the relations of proportion and order remain invariant in conventional choice of unit for any quantity and give rise to natural divisions among tropes. As a consequence, tropes fall under distinct determinables and determinates. Our conception provides an accurate account of quantitative distances between tropes but avoids commitment to determinable universals. In this important respect, it compares favorably with the standard conception taking exact similarity and quantitative distances as primitive internal relations. Moreover, we argue for the superiority of our approach in comparison with two additional recent accounts of the similarity of quantity tropes. (shrink)

In this article, I will focus on the notion of supervenience introduced and deployed by Armstrong. The aim is to settle the issue of whether it has any fruitful applications. My conclusions are negative. Armstrong gives to his notion of supervenience a major explanatory role of telling why one need not consider certain beings as a genuine ontic expansion, if one already assumes a certain meagre set of more basic entities. On closer inspection, however, Armstrong’s notion does not clarify such (...) intuitions any further. The legitimate uses of the notion for the above purpose turn out to be redundant: the concepts of identity and partial identity can be employed instead. (shrink)

This article presents a trope bundle theory of simple substances, the Strong Nuclear Theory[SNT] building on the schematic basis offered by Simons's (1994) Nuclear Theory[NT]. The SNT adopts Ellis's (2001) dispositional essentialist conception of simple substances as powerful particulars: all of their monadic properties are dispositional. Moreover, simple substances necessarily belong to some natural kind with a real essence formed by monadic properties. The SNT develops further the construction of substances the NT proposes to obtain an adequate trope bundle theory (...) of powerful particulars. The SNT allows for co-located powerful particulars. However, every powerful particular is necessarily co-located with its constituent tropes, which determine its causal powers. Every constituent trope of substance i is part of a trope aggregate (the n-bundle or c-bundle) that forms an individual figuring in the basic spatio-temporal relations. The location of these individuals determines the location of individual tropes. Since they are necessarily co-located with substance i when they exist, every trope t of i is necessarily co-located with i when it exits. Every simple substance has nuclear tropes necessary to it. It belongs to certain primary natural kind K because its nuclear tropes belong to certain distinct determinate kinds. (shrink)

According to Robert K. Garcia, trope theories divide into two distinct groups based on the type of tropes (module or modifier) assumed. Although left unnoticed by many trope theorists, Garcia claims that the module/modifier distinction has important consequences regarding the ontological merits of the different trope theories. In this article, I argue that Garcia’s distinction between module and modifier tropes fails to provide any correct or informative classification of trope theories: Garcia’s distinction is based on assumptions and primitive notions trope (...) theorists explicitly reject. Trope theories attempt to eliminate the fundamental object-property dichotomy by means of the analysis of inherence (an object having a property). By contrast, Garcia’s module and modifier tropes are different kinds of particular properties, which fundamentally inhere in a property bearer. Therefore, no trope is a module or modifier trope in Garcia’s sense. Finally, there is an ambiguity in Garcia’s use of his term “character making” that makes void his arguments for the module/modifier distinction based on the conception of non-module tropes as “character makers”. (shrink)

This paper is the first trope-theoretical reply to E. J. Lowe’s serious dilemma against trope nominalism in print. The first horn of this dilemma is that if tropes are identity dependent on substances, a vicious circularity threatens trope theories because they must admit that substances are identity dependent on their constituent tropes. According to the second horn, if the trope theorist claims that tropes are identity independent, she faces two insurmountable difficulties. (1) It is hard to understand the ontological dependence (...) of tropes on substances. (2) The identity-conditions of tropes cannot be determinate, which threatens the determination of the identity-conditions of substances. Our reply to the first horn of Lowe’s dilemma is to deny the identity dependence of tropes. Yet we can avoid the second horn because our theory can explain the ontological dependence of tropes on substances and the fully-determined identity-conditions of both tropes and substances. (shrink)

We argue that if one wishes to be a realist, one should adopt a Neo-Aristotelian ontology involving tropes instead of a Russellian ontology of property universals and objects. Either Russellian realists should adopt the relata-specific relational tropes of instantiation instead of facts, or convert to Neo-Aristotelian realism with monadic tropes. Regarding Neo-Aristotelian realism, we have two novel points why it fares better than Russellian realism. Instantiation of property universals by tropes and characterization or inherence between tropes and objects are more (...) transparent ontological notions than relational inherence, which is assumed in Russellian realism with the relational tropes of instantiation. Neo-Aristotelian realism makes better sense about abstract universals, which are a more viable option than concrete universals. (shrink)

[A comment paper on Tuomas Tahko's book An Introduction to Metametaphysics (CUP, 2016).] Pyrin tässä artikkelissa selvittämään, missä määrin Tuomas Tahkon kirjan An Introduction to Metametaphysics luvussa 9 esittämä käsitys tieteen ja metafysiikan suhteesta tuo selvyyttä metafysiikan luonteeseen itsenäisenä tutkimusalana. Analyyttinen metafysiikka on joutunut viimeisten viidentoista vuoden aikana kasvavan kritiikin kohteeksi. James Ladymanin (2012) mukaan viime aikoina suosittu käsitys metafyysisen teorian valinnasta teoreettisten hyveiden perusteella kohtaa niin sanotun vahvan globaalin alimääräytyneisyyden ongelman. Tahko pyrkii vastaamaan näihin huoliin esittämällä synteesiin E.J. Lowen (...) metafysiikkakäsityksen ja Laurie Paulin (2002) esittämien ideoiden välillä. Argumentoin, että Tahkon vastaus on sikäli puutteellinen, että se jättää avoimeksi kysymyksen parhaan ontologisen kategoriajärjestelmän valinnasta. Teen ehdotuksia siitä, miten voimme välttää alimääräytyneisyyshuolen myös tässä tapauksessa. (shrink)

This article defends strong formal ontological conception of ontological categories against Lewis's "deflanationary" conception. Here, it sides with E.J. Lowe (1998) among others. However, the paper argues against Lowe's conception of metaphysics as an a priori science. Different category systems are compared and the best system is selected on the basis of its ability to accommodate our the best a posteriori conceptions of reality.

In this article, we propose a new trope nominalist conception of determinate and determinable kinds of quantitative tropes. The conception is developed as follows. First, we formulate a new account of tropes falling under the same determinates and determinables in terms of internal relations of proportion and order. Our account is a considerable improvement on the current standard account (Campbell 1990; Maurin 2002; Simons 2003) because it does not rely on primitive internal relations of exact similarity or quantitative distance. The (...) internal relations of proportion and order hold because the related tropes exist; no kinds of tropes need be assumed here. Second, we argue that there are only pluralities of tropes in relations of proportion and order. The tropes mutually connected by the relations of proportion and order form a special type of plurality, tropes belonging to the same kind. Unlike the recent nominalist accounts, we do not identify kinds of tropes with any further entities (e.g. sets) or abstractions from entities (e.g. pluralities of similar tropes). (shrink)

An old paper of mine (in Finnish) on the "similarity" of quantity tropes. See "Quantity Tropes and Internal Relations", "Kinds of Tropes without Kinds" and "The Ontological Form of Tropes" for more updated version of our theory.