... programs. functional programming functional languages equational reasoning monad high order function Twenty-five years ago, Hughes published a paper entitled ‘Why Functional Programming Matters’ [ 1 ], which has since become one of the most cited papers in the field. Rather than discussing...

..., Stachyothyrsus and Sympetalandra) pollen grains are small, tricolporate monads, with perforate or psilate ornamentation. Dinizia, Pentaclethra and Aubrevillea have morphological characters that have suggested either a mimosoid or caesalpinioid placement. Dinizia pollen...

... contexts, we let S be an arbitrary pseudo-monad on Cat and let S1 model untyped contexts in general: this generality includes contexts for sub-structural logics such as the Logic of Bunched Implications and variants. Given a pseudo-distributive law of S over the (partial...

... odoralissimus, cytokinesis is successive with centrifugal cleavage in both the meiotic divisions. The dyads move apart from each other after the first division, and the microspores likewise after the second division, so that only monads are formed at the end of meiosis. Although no trace...

...This chapter addresses an aspect of Leibniz’s metaphysics that has not received much attention from scholars, namely, the doctrine of monadic domination. More specifically, it offers an account of what monadic domination, understood as a relation obtaining exclusively among monads, amounts...

...This chapter analyzes Plotinus’ refutation of the Aristotle’s criticism of Plato’s view of number in the Parmenides. By rejecting any quantitative value of number in the intelligible realm, Plotinus specifically focuses on Aristotle’s inability to understand the Monad...

... actuality energeia Gerson L number arithmos Primary Kinds megista genê and prôta gene substantial number ousiôdês arithmos Plato Plotinus Being to on Monad One to hen substance ousia contemplation theôria monadic number monadikos arithmos power dynamis quantity posotês and poson one to hen...

...2016 ‘Monads, corporeal substances, and bodies’ explores the relationship between monads and the extended bodies of the physical world. How Leibniz conceives bodies in his mature metaphysics is one of the most discussed issues in recent decades. In particular, specialists debate whether Leibniz’s...

... soul Budé Guillaume Budæus 1467–1540 Leibniz Gottfried Wilhelm von FRS 1646–1716 Great Chain of Being monad simple substance or particle organisms bodies of Descartes René Cartesius Renatus 1596–1650 Kant Immanuel 1724–1804 Needham Noel Joseph Terence Montgomery FRS 1900–1995 embryo embryology...

...2-Dimensional Categories. Niles Johnson and Donald Yau, Oxford University Press (2021). © Niles Johnson and Donald Yau. DOI: 0.1093/oso/9780198871378.003.0006 In this chapter, adjunctions and monads in 2-/bicategories are defined and discussed, along with their basic properties...

... of mystical deification. A brief appendix discusses the possible underlying influence of Pythagorean numerology. Cappadocian Fathers theology Dionysios Denys the Areopagite hypostasis ὑπόστασις ipostas Justinian emperor Maximos the Confessor St monad μονάς nature φύσις Neoplatonism triad τριάς Basil...

... idealism is somewhat Leibnizian, if things in themselves are monad‐like subjects; the other is somewhat Berkeleian, if phenomena are spatial and space is ideal. Concession: Kant is an idealist about space, whether or not he ought to have been. But that is not the explanation for Humility; and since...

... functors. The stage is then set to at last introduces monads, which are defined in terms of functors and natural transformations. The last part of the chapter provides a compositional calculus with monads for natural language semantics (in other words, a logic for working with monads...

... materialism monad Vagueness psychological This content is only available as a PDF. ...

... of an alchemical influence behind Leibniz’s development of the monad concept is also discussed. Finally, the chapter looks at Leibniz’s views on the epistemic status of chemical principles. On the one hand, alchemical experiments are perfectly connected to Leibniz’s metaphysics; on the other hand, the alleged...

... Cramer Gabriel Smith Eugene Boyer Carl transformation Boolean algebra field ring vector space function notion material substance determinant matrix algebra monad unity harmony Commentators have argued that very early in Leibniz's philosophical career he took mind (or soul...

...Deals with Leibniz's doctrine that all activities of each monad are correlated with activities of all the others, in a universal harmony. His reasons for this, and the work he makes it do, including his view that the universe is deterministic in both temporal directions is given. Monadic points...

..., hoping to extirpate atheism and materialism at their source. Leibniz evolved an unusual scheme of immaterial atoms, which he termed ‘monads’. Monads were mind-like entities, dimensionless, devoid of physical properties such as shape, impenetrability, and location in absolute space, and differentiated...

... as monad and the many natures dependent from this monad. Another important point is the distinction between nature qua nature and nature qua soul, intellect, One. Nature is so defined as ‘divine art’ and ‘instrument of the gods’—an instrument which is not deprived of self-motion and is integrated...

... engineering evil Niches plenum privation possible world optimism sufficient reason Chinese philosophy binary arithmetic gunk monad Gottfried Leibniz (1646–1716) rejects the Christian resurrection of the void. God is the opposite of nothingness. Being flows from God as water from a fountain...