Prompt: Linguistics (Latin lingua 'tongue' + Greek -ikos 'of, relating to') is the broad study of human language. It delves into grammar, pronunciation, history, and how languages function across cultures.
Semantics (Greek σημαίνει (semainei) 'to signify' + -ics) zooms in on meaning within language. It analyzes how words, phrases, and sentences convey ideas and how context influences interpretation.
Semiotics (Greek σημεῖον (semeion) 'sign' + -ics) takes the biggest umbrella. It's the general theory of signs and symbols, encompassing everything from traffic signs and emojis to fashion trends and body language. Semantics becomes a branch within semiotics, focusing specifically on signs within human language.
So, linguistics is the foundation, exploring the structure of languages. Semantics builds on that, examining how meaning is built within those structures. And semiotics is the overarching field, investigating all forms of signs and symbols humans use to communicate.
Prompt: In the field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each other, being examples of topological invariants (which reflect, in algebraic terms, the structure of spheres viewed as topological spaces). The i-th homotopy group πi(Sn) summarizes the different ways in which the i-dimensional sphere Si can be mapped continuously into the n-dimensional sphere Sn. This summary does not distinguish between two mappings if one can be continuously deformed to the other. (The problem of determining πi(Sn) falls into three regimes, depending on whether i is less than, equal to, or greater than n1.): For 0<i<n, any mapping from Si to Sn is homotopic (meaning continuously deformable) to a constant mapping, i.e., a mapping that maps all of Si to a single point of Sn. Therefore the homotopy group is the trivial group. When i=n, every map from Sn to itself has a degree that measures how many times the sphere is wrapped around itself. This degree identifies the homotopy group πn(Sn) with the group of integers under addition. The most interesting and surprising results occur when i>n. The first such surprise was the discovery of a mapping called the Hopf fibration, which wraps the 3-sphere S3 around the usual sphere S2 in a non-trivial fashion, and so is not equivalent to a one-point mapping. The stable homotopy groups of spheres are notorious for their immense computational richness. Many of the tools of algebraic topology and stable homotopy theory were devised to compute more and more of the stable stems of such.
Prompt: The Littlewood-Richardson coefficients are combinatorial numbers that arise in the study of the representation theory of symmetric groups and general linear groups. The visual representations of the Littlewood-Richardson coefficients are often depicted using tableaux, which are graphical devices for keeping track of various combinatorial objects. Such coefficients can be computed by counting skew tableaux of a certain type, and arise in the decomposition of the tensor product of irreducible representations of the general linear group or in Schubert varieties. These tableaux provide a way to understand and compute the coefficients, making intricate undergirding algebraic relationships more accessible and easier to visualize.
Prompt: AB neurons, also known as aromatase-expressing neurons, are a cluster of neurons found in certain mammalian brains, that play a crucial role in gender recognition and social behavior. These neurons produce aromatase, an enzyme that regulates key hormones in reproductive and sexual development. When the activity of these neurons is suppressed, such mammals gender-recognition ability is also suppressed. Further studies support the idea that such capability is hardwired into the neurons of males. Female AB neurons do not appear to control sex recognition, mating, or maternal aggression to the same extent as male AB neurons. (See also aromatase, an enzyme responsible for the production of 17β-estradiol from androgens.)
Prompt: Euler's identity is a fundamental mathematical equation that connects the constants e, π, 1, 0, and the imaginary unit. Although, there is no direct topological version of Euler's identity, there is the Euler characteristic, which is a topological invariant that describes a topological space's shape or structure regardless of the way it is bent. The Euler characteristic is commonly denoted by χ and is defined as the alternating sum of the numbers of vertices, edges, and faces in a polyhedral surface. While it is not an identity in the same form as Euler's equation, the Euler characteristic is a significant topological invariant that captures essential topological information about a space.
Said Euler characteristic is a topological invariant that has various properties and applications in algebraic topology and polyhedral combinatorics. It is related to the Betti numbers and can be viewed as a generalization of cardinality for topological spaces. The Euler characteristic behaves well with respect to many basic operations on topological spaces, such as homotopy invariance, additivity under disjoint union, and a version of the inclusion–exclusion principle for certain cases. Thus, while there is no direct topological version of Euler's identity in the form of an equation like e^(i*pi) + 1 = 0, the concept of the Euler characteristic serves as a fundamental topological invariant with wide-ranging applications in mathematics and topology.
Prompt: Susceptibility to internet conspiracy theories linked to questioning socio-political order, anxiety, fear of uncertainty, and distrust in authorities. Socio-psychological factors like low social trust and perceived threats heighten susceptibility. Personality traits, like neuroticism, studied for connection to susceptibility. Psychological theory on neuroticism's role in conspiracy beliefs not well-established. Various factors, including cognitive mechanisms, socio-political attitudes, and personality traits, contribute to susceptibility. Pandemics significantly influence proliferation of internet conspiracy theories. Question marks hover over a tangled web of social media icons, shrouded in darkness; a figure questioning authority amidst a crowd of anxious faces; A virus morphing into conspiracy symbols amidst swirling chaos. Surrealism, Symbolism, Social Realism, Expressionism, Dadaism, Pop Art, Cubism, Cyberpunk.
Prompt: A sea-turtle rises from oceanic depths in golden hour, breaking the surface with its head at the very center of an elliptical wooden yoke floating upon the vast open sea. From a neuronally-mediated probabilistic spatio-temporal past the echo of the original words being spoken in Pali, long-unheard by mortal beings:
“Monks, suppose that this great earth were totally covered with water, and a man were to toss a yoke with a single hole there. A wind from the east would push it west; a wind from the west would push it east. A wind from the north would push it south; a wind from the south would push it north. And suppose a blind sea turtle were there. It would come to the surface once every one hundred years. Now what do you think? Would that blind sea turtle, coming to the surface once every one hundred years, stick his neck into the yoke with a single hole?” “It would be a sheer coincidence, lord, that the blind sea turtle, coming to the surface once every one hundred years, would stick his neck into the yoke with a single hole.” “It’s likewise a sheer coincidence that one obtains the human state. It’s likewise a sheer coincidence that a Tathāgata, worthy & rightly self-awakened, arises in the world. It’s likewise a sheer coincidence that a Dhamma & Vinaya expounded by a Tathāgata appears in the world. Now, this human state has been obtained. A Tathāgata, worthy & rightly self-awakened, has arisen in the world. A Dhamma & Vinaya expounded by a Tathāgata appears in the world. “Therefore your duty is the contemplation, ‘This is stress … This is the origination of stress … This is the cessation of stress.’ Your duty is the contemplation, ‘This is the path of practice leading to the cessation of stress.’”
Prompt: A painting hanging on an art museum wall, consisting of “THE GREATEST ARTISTS OF ALL TIME (and their licensors, where applicable) shall exclusively own all right, title, and inter-est, including all related Intellectual Property Rights, in and to the THE GREATEST ARTISTS OF ALL TIME’s Technology, Content, Digital Properties plus any suggestions, ideas, enhance-ment requests, feedback, recommendations, or other information provided by Subscriber or any other party relating to the foregoing. This Agreement is not a sale and does not convey to Sub-scriber any rights of ownership in or related to the THE GREATEST ARTISTS OF ALL TIME Technology, Content, Digital Properties or Intellectual Property Rights owned by THE GREAT-EST ARTISTS OF ALL TIME. THE GREATEST ARTISTS OF ALL TIME’ name, THE GREATEST ARTISTS OF ALL TIME’ logo, and the product and service names associated with the Site and Service are trademarks of THE GREATEST ARTISTS OF ALL TIME or third par-ties, and no right or license is granted to use them unless expressly permitted by THE GREATEST ARTISTS OF ALL TIME in writing.” In the style of the greatest artists of all time.
Prompt: In Pali, "Buddha" is the past participle of the verb "budh," which means "to awake, know, perceive;" the Sanskrit equivalent of "Buddha" being बुद्ध. The Eightfold Path consists of wholesome ethics (correct action, correct speech, correct livelihood), wholesome cognitive focus (correct effort, correct mindfulness, correct concentration) and wholesome wisdom (correct view, correct intention). The Tenfold Path consists of those eight, plus wholesome concentrative discernment (correct knowledge, correct release). In the styles of Wu Daozi, Giotto di Bondone, Kano Kazunobu, Nicholas Roerich & Ani Choying Drolma.
Prompt: Saint Peter and an angel outside the Pearly Gates, explaining to a New Arrival that the inner voice that had guided the New Arrival all those years was actually Satan emulating the One they had thought of as guiding their actions, and how said New Arrival would therefore have some new tasks ahead.
Prompt: Full-palette oil painting by Caravaggio, Diego Velázquez, Francisco Goya & Gustave Doré: During the Reconquista, as Christian territories expanded and Jews and Muslims faced pressure to convert, Ferdinand and Isabella sought religious unity and believed conversos (Jewish converts) and moriscos (Muslim converts) posed a threat. In 1478, Pope Sixtus IV allowed the Spanish monarchs to establish the Inquisition to identify and eliminate heresy. The Dominican Order initially controlled it, with Tomas de Torquemada as the first Grand Inquisitor. During the early years of the Spanish Inquisition, from the late 15th century to the early 16th century, the number of executions was relatively limited, but the severity and scope of the Inquisition increased over time. Torture, imprisonment, confiscation of property, and exile were common punishments. In 1782, King Charles III of Spain abolished torture in the Inquisition's proceedings; it was formally abolished in 1808, the same year that Ludwig van Beethoven's Symphony No. 5 in C minor premiered in Vienna. 1808-1478 = 330 years.
Prompt: Insomuch as you have created the form of a Paleolithic Artist painting stencils of left hands, clothe said Artist in appropriate "cave man" clothing, suitable to their epoch.
Dream Level: is increased each time when you "Go Deeper" into the dream. Each new level is harder to achieve and
takes more iterations than the one before.
Rare Deep Dream: is any dream which went deeper than level 6.
Deep Dream
You cannot go deeper into someone else's dream. You must create your own.
Deep Dream
Currently going deeper is available only for Deep Dreams.