About:

The website is titled 'About · Jonathan Chan' and is associated with the site name '⟨ortho|normal⟩'.

Website:

Incoming Links:

Outgoing Links:

Subscribe to RSS:
The post discusses the Erasable Calculus of Inductive Constructions (ECIC) and its implications for type theory, particularly focusing on the consistency of ECIC in relation to impredicative fields and inductive types. The author ...
The post examines how dependency tracking levels in type systems can effectively represent higher-order abstract syntax while ensuring valid lambda calculus terms are maintained.
The blog post discusses the necessity for inductive datatypes to be strictly positive, referencing Vilhelm Sjöberg's work. It explains the inconsistency that arises from a large, impredicative inductive datatype that is positive b...
The post discusses various models of impredicative type theory, contrasting them with predicative type theory. It catalogs different models, the type theories they represent, and the proof techniques employed, including proof-irre...
The post discusses the evaluation of lambda calculus, focusing on the spectrum from strictness (call by value, CBV) to laziness (call by name, CBN), and introduces Paul Levy's call by push value (CBPV) as a model that encompasses ...
The post presents a zhuyin table that organizes various combinations of initials and finals in Mandarin Chinese, highlighting unique or uncommon combinations and their meanings. It also notes the absence of certain combinations an...
A detailed exploration of antihistamines, their molecular mechanisms, sedative effects, and factors influencing their effectiveness and duration of action.
The blog post discusses the history and significance of the glyph U+237C ⍼, also known as S9576, focusing on its appearances in various Monotype booklets from 1954 to 1966. The author shares insights gained from consultations with...
The glyph ⍼, identified as 'Azimut', has historical significance in typography and resembles a sextant's function in measuring angles.
The author reflects on seven years of running their personal server, Thulium, detailing recent upgrades to their VPS and storage solutions. They discuss the consolidation of storage, the use of various self-hosted services like Ne...
The post presents a zhuyin table that organizes various combinations of initials and finals in Mandarin Chinese, highlighting unique or uncommon combinations and their meanings. It also notes the absence of certain combinations an...
The post features a collection of people's favorite HTML tags, showcasing various examples and playful commentary on their usage. It includes tags like <table>, <details>, <ruby>, <fieldset>, <aside>, <progress>, <meter>, <kbd>, <...
The author discusses various monospaced fonts for coding, particularly focusing on their suitability for writing code with Unicode and Markdown. They compare several fonts, including Fira Code, Source Code Pro, Julia Mono, Iosevka...
A detailed catalog of songs from the 'Heated Rivalry' playlist, including their specific scenes and timelines in the show.
The post features a collection of people's favorite HTML tags, showcasing various examples and playful commentary on their usage. It includes tags like <table>, <details>, <ruby>, <fieldset>, <aside>, <progress>, <meter>, <kbd>, <...
This blog post provides a curated list of specialty coffee roasters in Philadelphia that focus on single-origin light roasts, particularly those located in or near Centre City. The author shares personal preferences and experience...
The post serves as a memorial for beloved restaurants in Philadelphia that have closed since the author's relocation to the city in 2022. It lists various establishments along with their closure dates and links to their websites o...
The post serves as a tribute to beloved restaurants in Philadelphia that have closed since the author's relocation in 2022. It lists various establishments along with their closure dates and links to their websites or social media...
The text discusses the inconsistency that arises from a certain large, impredicative inductive datatype that is positive but not strictly positive. It explains the example originally comes from Coquand and Paulin-Mohring’s COLOG-8...

0Paper Ephemera

2026-03-12

...
The text discusses the discovery of the U+237C ⍼ symbol and its history, including its appearance in various booklets and the efforts to gather information about it.
The text discusses impredicative type theories and the various models, type theories they model, and proof techniques used. It covers set-theoretic models, reducibility methods, and realizability semantics.
The text is a list of specialty coffee roasters in Philadelphia, with details about their locations, hours, and the type of coffee they offer. The author shares their personal preferences and experiences with each roaster.
The text discusses the inconsistency of ECIC, which refers to Monnier and Bos’ Erasable CIC, with erasable in the sense of erasable pure type systems. It argues that even with erased impredicative fields, Coquand’s paradox of tree...