Fr. Ananias

Philosopher

11.4 points8 upheld3 under review, tied, or overturned

• Jay Dyer vs Ryan Dawson Debate: Theism vs Anti-Theism, Christianity vs Nihilism, Relativism, Atheism at 1:25:27upheld
  The council upheld the call: Fr. Ananias earned 1 point.
  explicit argument (+1)
  “… if what I believe is true is true relevant [relative] to me, then how can we admit that we ever learn or grow either intellectually or morally?”
  Diogenes: Father Deacon sets out a consequence argument with its premise and conclusion stated — if the self is the standard, there is nothing to move toward, so no progress is possible — rather than merely repeating the self-refutation charge others had made.
  • Aristotle uphold: On the record: As a caller, Fr. Ananias has no formal opening thesis, but from his first words on the floor he has consistently pressed the charge that Ryan's subjectivism is self-undermining; this quote is a fresh consequence-argument within that same line, not a departure from it. The quote states a premise (truth-relative-to-self as the standard) and draws a distinct conclusion (no basis for admitting intellectual or moral progress), which is more than a bare repetition of the self-refutation charge others made — it is a new argument about consequences, meeting the definition of explicit argument.
  • Socrates uphold: Read blind, found "explicit argument". Fr. Ananias lays out a clear premise-conclusion challenge: if truth is relative to the individual believer, then the individual is his own standard, and it becomes incoherent to speak of learning or moral/intellectual growth (since growth implies measuring present belief against something beyond one's current subjective state). This is a substantive philosophical point about self-referential relativism, posed to Ryan who is present and responds to it directly afterward.
  • Plato uphold: On the record: Fr. Ananias, as caller, argued throughout his exchange that subjectivism collapses into a standard where the self is both judge and judged, undermining any account of correction or improvement; this quote states that same point as a conditional (if belief-truth is self-relative, then growth is unaccountable) with its premise and conclusion laid out plainly, rather than merely reasserting self-refutation. The quote sets out a distinct consequentialist premise (self-relative truth eliminates any external standard against which to measure learning or growth) and draws the conclusion (no intellectual/moral progress is coherent), which is a genuine explicit argument rather than a bare repetition of the classic self-refutation charge (relativism refutes itself as a truth-claim).
  Judged on 2026-09-20 under rules 5db6e582fc0c, since revised
• Jay Dyer vs Ryan Dawson Debate: Theism vs Anti-Theism, Christianity vs Nihilism, Relativism, Atheism at 1:28:22upheld
  The council upheld the call: Fr. Ananias earned 1 point.
  steelman (+1)
  “So if you're saying there's subjects involved in that that will have their beliefs, it can either be true or false. I think that's not a contentious position that anybody would disagree with. But I think what Jay was trying to ask is we all come with different standards on how we judge exactly like you said. For example, what works.”
  Diogenes: Father Deacon first grants the uncontroversial part of Ryan's answer, then restates Jay's question in sharper form — what is the criterion for judging what works — and checks the restatement with Jay before pressing it.
  • Aristotle uphold: On the record: Fr. Ananias entered the debate as a caller siding with Jay's transcendental-argument line, pressing Ryan on the normative justification for his criteria of "what works," and this move is consistent with that stance from its first appearance, not a departure from anything declared earlier. Fr. Ananias's first substantive move in the debate (as a caller entering at 84:03) is exactly this: he grants Ryan's point as uncontentious before restating Jay's underlying question in sharper terms and checking the restatement with both parties, which is the textbook combination of charitable restatement plus verification that defines a steelman; the exchange is on the floor since Ryan responds to it directly.
  • Socrates uphold: Read blind, found "steelman". Fr. Ananias first restates Ryan's actual view charitably and accurately (subjects hold beliefs that can be true or false, which he grants is uncontroversial), then distinguishes it from the deeper normative question Jay had been pressing all debate (what criterion justifies calling something "what works"), and explicitly asks both men to confirm he has characterized their positions correctly rather than assuming.
  • Plato uphold: On the record: As a caller supporting Jay's side, Fr. Ananias has consistently pressed the same normative/justification line Jay opened with (that pragmatic "what works" answers beg the question of criteria), and this restatement is a continuation of that stance rather than a departure from it. Fr. Ananias accurately grants the uncontroversial part of Ryan's just-given answer (that subjective interpretation of data is not itself contentious) before reformulating the sharper normative question Jay had been pressing, and he explicitly checks his restatement with Jay for accuracy — this is a textbook charitable-restatement-then-response move, not a strawman or mere repetition.
  Judged on 2026-09-10 under rules 5db6e582fc0c, since revised
• Jay Dyer vs Ryan Dawson Debate: Theism vs Anti-Theism, Christianity vs Nihilism, Relativism, Atheism at 1:33:25upheld
  The council upheld the call: Fr. Ananias earned 1 point.
  evidence (+1)
  “… you'll see this in Klein and Duhaime [Quine and Duhem] and and a lot of these people in the philosophy of science were able to demonstrate that you can have multiple contradicting scientific paradigms that all work perfectly well.”
  Diogenes: Father Deacon names a specific, checkable result — the underdetermination of theory by data — and draws the exact consequence it has for Ryan's claim that working is evidence of truth.
  • Aristotle uphold: On the record: Fr. Ananias has consistently argued, since his first intervention challenging Ryan's "subjectivity means no progress" position, from named philosophy-of-science literature (Kuhn, Quine, Duhem) to press specific, checkable consequences against Ryan's pragmatist justification; this line continues that same method rather than departing from it. The verifier confirms the Duhem-Quine underdetermination thesis is real and correctly applied: Fr. Ananias states the content of the result (rival theories can be empirically equivalent) and draws its exact consequence for Ryan's "it works, therefore probably true" move, which is citing something checkable rather than merely invoking a name to substitute for argument — the garbled pronunciation doesn't change that the substance is accurately deployed.
  • Socrates uphold: Read blind, found "evidence". Fr. Ananias cites a specific, checkable position in the philosophy of science (the Quine-Duhem underdetermination thesis) to substantiate his claim that empirical "working" does not settle truth, since rival, contradictory paradigms can each be empirically adequate. This moves the exchange from bare assertion to a citable finding, and directly undercuts Ryan's repeated "it works, so it probably matches reality" move rather than merely restating disagreement.
  • Plato uphold: On the record: Fr. Ananias entered as a caller pressing Jay's justification-vs-belief distinction against Ryan's pragmatism, and this line extends that same objection by citing a specific, checkable philosophical result (Duhem-Quine underdetermination) rather than merely restating the demand for justification. The verifier confirms the citation is real, correctly named despite mangled pronunciation, and correctly applied: underdetermination shows that "it works" cannot by itself grant justification for truth, which is precisely the point at issue with Ryan's pragmatist standard. This is a textbook case of distinguishing claim from evidence with something checkable cited.
  Judged on 2026-09-10 under rules 5db6e582fc0c, since revised
• Jay Dyer vs Ryan Dawson Debate: Theism vs Anti-Theism, Christianity vs Nihilism, Relativism, Atheism at 2:07:00overturned
  The council overturned the call, so no points were earned.
  explicit argument (+1)
  “… if you found out my reason that that I wash my hands after the bathroom is because I believe that it helps my Bitcoin investments go up, you might actually say that's not a good reason for holding a true belief…”
  Diogenes: A single clean case separating the truth of a belief from the quality of the reason for it, which is exactly the distinction the two debaters kept talking past.
  • Aristotle uphold: On the record: Fr. Ananias's standing since his first call-in intervention (~84:00) has been to press the distinction between what people believe/agree on and the separate question of what justifies that belief, and this super-chat remark is a direct continuation and clean illustration of that same distinction, not a departure from it. The quote states a clear premise-conclusion structure: a belief can be true (hand-washing prevents illness) yet held for a bad reason (Bitcoin superstition), therefore truth-of-belief and quality-of-justification are distinct — which is precisely the distinction Jay had been pressing against Ryan's "it works so it's justified" line throughout the debate. This is a plainly stated explicit argument, not a mere assertion or restatement.
  • Socrates overturn: Read blind, found nothing worth calling. By 127:00 Ryan had already left the stream ("I gotta tap out," ~118:45); this is Fr. Ananias illustrating, with Andrew and Jay, why pragmatic success doesn't equal justification, but there is no opponent on the floor to answer it. Per the floor rule, commentary about an absent party's position is not judged either way.
  • Plato overturn: On the record: Fr. Ananias is a caller/guest who entered the debate to defend Jay Dyer's justification-critique of Ryan's pragmatism; this Bitcoin analogy at 127:00 comes well after Ryan Dawson (the opposing debater) formally departed the call around 118-120, so it is offered in his absence. By the floor rule, this is commentary about a debater's position made after that debater is no longer on the floor to hear or respond to it — Ryan Dawson had already signed off and left before this super-chat colloquy between Fr. Ananias and Jay Dyer took place — so however clean the analogy is on its own philosophical merits, it is not a scoreable move in the live debate.
  • Thesmothetes overturn: By the rule: the floor: no opponent present. Ryan Dawson said "I gotta tap out" and left the stream around 118:45-120:00, well before this Bitcoin/hand-washing remark at 127:00, which occurs during the post-debate super-chat segment among Andrew, Jay Dyer, and Fr. Ananias. However clean the truth-versus-justification distinction is on its own terms, it was never put to an opponent capable of answering it in that exchange, so per the floor rule it is not judged.
  Judged on 2026-09-10 under rules 5db6e582fc0c, since revised
• Fr. Ananias and Jay Dyer vs Matt Slick: Orthodoxy vs Protestantism Debate at 6:55upheld
  The council upheld the call: Fr. Ananias earned 2 points.
  framework objection (+2)
  “… to prove the canon, let alone the correct interpretation…”
  Diogenes: S3 says the Protestant cannot use Scripture to prove its own canon or its correct interpretation, and that this must be settled before Scripture can be used against Orthodoxy. That names the presupposition he denies.
  • Aristotle uphold: On the record: Fr. Ananias declared at 06:02 that citing Scripture begs the question until the canon and interpretation are justified, and he held that throughout, so this line does not depart from it. In the passage around 06:45–07:02 he says that without an established canon the Protestant cannot appeal to Scripture to prove the canon or the correct interpretation, and then return to say Orthodoxy does not fit Scripture. That names the presupposition he denies (Scripture's canonicity and interpretation are assumed). It also says what must be settled first: how Slick got his Scriptures. He keeps to this at 33:40 and 72:06, and he does not decline outright. He also defends his own framework by pointing to the Church, history and the councils. All three elements are present, so the call stands.
  • Socrates uphold: Read blind, found "framework objection". Fr. Ananias says Slick's appeal to Scripture presupposes what is in dispute. He names the presupposition he denies, which is that the canon and its interpretation are already settled. He says what must be settled first: how Protestants got their Scriptures. This is a framework objection, and he keeps to it through the debate.
  • Plato uphold: On the record: Fr. Ananias declared at the opening that citing Scripture begs the question until the Protestant says how he got his canon and its interpretation, and he held that objection to the end; the called line is that same objection, not a departure. The line meets all three elements of a framework objection. (1) Slick's demand to argue from Scripture presupposes that Scripture, its canon and its interpretation are already settled. (2) Ananias names the presupposition he denies: that one can use Scripture to prove its own canon or its correct interpretation. (3) He says what must be settled first: the canonicity of Scripture has to be established before Scripture is appealed to against the Orthodox Church. He then defended this framework at length, so it is not a dodge.
  Judged on 2026-10-12 under rules 8ea237659f20
• Fr. Ananias and Jay Dyer vs Matt Slick: Orthodoxy vs Protestantism Debate at 18:10upheld
  The council upheld the call: Fr. Ananias earned 1.2 points.
  homologia (+1.2)
  “Then you deny constant... Constantinople…”
  Diogenes: S3 asked whether Slick accepts baptismal regeneration, then said that means he denies Constantinople 381, and Slick answered "then that part of it, I certainly reject". This is a concession that he does not follow the councils in full, which S3 had asserted before and Slick had disputed, and it bears on S3's claim that Calvinism is ahistorical.
  • Aristotle uphold: On the record: Fr. Ananias declared at 06:02 that citing Scripture begs the question until the canon and interpretation are justified, and he has held that throughout; the called line pressing Slick on Constantinople fits that position and does not depart from it. Slick had objected at 15:31 that he did not reject the councils. At 18:00 Ananias asked about baptismal regeneration. Slick said he denies it. Ananias then said "Then you deny Constantinople". Slick answered "If that's what they teach, then that part of it, I certainly reject". That is a forced concession, though a conditional one. It does not rest any ground of Slick's own thesis, and Ananias only partly tied it to his ahistoricity claim ("this is prior to scripture"). That fits a one-point homologia.
  • Socrates overturn: Read blind, found nothing worth calling. Ananias draws a quick inference from Slick's denial of baptismal regeneration to rejection of Constantinople. He never states the missing premise, that the council teaches baptismal regeneration. Slick answers conditionally ("if that's what they teach"). The move is a probing question, not a derivation fully made, and it is not a clear fault either. The record does not support a call.
  • Plato uphold: On the record: Fr. Ananias declared at the opening that citing Scripture begs the question until the canon and its interpretation are justified, and he has held that framework objection and the claim that Calvinism is ahistorical throughout; the called line fits that and does not depart from it. Slick had objected at 15:36 to being accused of rejecting the councils. Ananias then asked about baptismal regeneration and said "Then you deny Constantinople." Slick conceded at 18:15: "If that's what they teach, then that part of it, I certainly reject." That is a forced concession, and it supports Ananias's claim that Calvinism departs from the councils. Ananias did tie it to the thesis, saying "this is prior to scripture. So you say you have a principle prior to scripture." But Slick conditioned the concession with "if that's what they teach" and rejected the "prior to scripture" framing, so it is only a one-point homologia.
  • Thesmothetes uphold: By the rule: every element of the label is found in the record. Slick had objected at 15:31 that he did not reject the councils. At 18:10 Ananias said "Then you deny Constantinople", and Slick answered "If that's what they teach, then that part of it, I certainly reject." The opponent granted the point, though conditionally, and it supports Ananias's claim that Calvinism is ahistorical. The record doesn't show that Ananias tied the concession to a ground Slick's own thesis depends on, so it is a one-point homologia.
  Judged on 2026-10-12 under rules 5daeffc301ee
• Fr. Ananias and Jay Dyer vs Matt Slick: Orthodoxy vs Protestantism Debate at 56:35overturned
  The council overturned the call, so no points were earned.
  homologia (+1.2)
  “You are not in a position to say that it's God's word, and you go…”
  Diogenes: S3 has said throughout that Slick cannot call Scripture God's word without circular reasoning, and that the canon and its interpretation must be justified first. Pressed on it, Slick conceded: "It's begging the question. You better believe it's begging the question", ground his own case against Orthodoxy depends on. S3 then added that "Mormons make all the same arguments that you do", showing what the concession costs.
  • Aristotle overturn: On the record: Fr. Ananias declared at 06:02 that citing Scripture begs the question until canon and interpretation are justified, and held that throughout; the called line restates that stance and does not depart from it. The quoted line at 56:35 ("You are not in a position to say that it's God's word, and you go") is Fr. Ananias repeating his standing objection. Slick answers "Yes I am... it's begging the question" in the same breath, but he does so as a defiant aside, not a concession. He has said all along that everyone reasons circularly and that the Spirit's inner witness grounds his knowledge of Scripture, so the remark grants nothing new. He did not concede that his case rests on a fallacy. Ananias's Mormon line follows, but it is an analogy and not the tying of a concession to Slick's thesis. A homologia needs a real forced concession, so no decisive move is shown, and the quote may not even be Ananias's.
  • Socrates uphold: Read blind, found "framework objection", on the same ledger as the callout. Ananias declines to argue exegesis because Slick's appeal to "God's word" presupposes the canon and its interpretation, which is the point in dispute. He names the presupposition he denies and says the justification of the principle must be settled first, and he has held this consistently since the opening. Slick's only answer has been the Spirit's inner witness, which is below the threshold, so the objection is not a dodge.
  • Plato overturn: On the record: Fr. Ananias declared at the opening that citing Scripture begs the question until the Protestant says how he got his canon and its interpretation, and he held that objection to the end; the called line restates it and does not depart from it. The called line, "You are not in a position to say that it's God's word, and you go", only restates the objection Ananias had held since the opening. At 56:38 Slick says "Yes I am... It's begging the question. You better believe it's begging the question." That is a defiant retort, not a concession. In context Slick is saying the Mormon question-begging charge applies equally to him, and he goes straight on to argue that Mormon doctrine is not true. He does not grant that his own position fails. The words attributed to Slick are also part of a transcript that is garbled and run together, so the speaker is uncertain. No concession was forced, so the homologia does not stand.
  • Thesmothetes overturn: By the rule: an element of the label is missing from the record. Fr. Ananias had pressed from 06:02 onward that Slick cannot cite Scripture without first justifying the canon, and the line at 56:35 only repeats that objection. Slick's "It's begging the question" at 56:44 is a defiant retort. He had already said at 13:04 that everyone reasons circularly, and he never granted that his case fails, so no concession was forced.
  Judged on 2026-10-12 under rules 5daeffc301ee
• Fr. Ananias and Jay Dyer vs Matt Slick: Orthodoxy vs Protestantism Debate at 1:05:57overturned
  The council overturned the call, so no points were earned.
  internal critique (+2)
  “… something that's not sola scriptura…”
  Diogenes: S3 uses Slick's own rule: Slick demands that everything be shown from Scripture alone ("I have to go with scripture"), yet his ground for knowing Scripture is inspired is an extra-biblical principle, his conversion experience. S3 states the derivation: he cannot bar S3 from appealing to history while appealing to experience himself.
  • Aristotle uphold: On the record: Fr. Ananias declared at 06:02 that citing Scripture begs the question until canon and interpretation are justified, and has held that throughout; the called line applies Slick's sola scriptura to his own ground and does not depart from his position. Premises held by Slick are on record: Scripture is the standard (48:34 "I have to go with scripture"), and he grounds Scripture's inspiration in the Spirit's inner witness and his conversion experience (53:00, 61:00-64:00). S3 states the derivation at 65:21-66:05: that is an extra-scriptural principle, so Slick cannot bar appeal to history while using experience himself. Slick did later say (68:00) that he does not deny extrabiblical principles and checks them against Scripture; but that came after the line and does not undo the tension as S3 stated it. The derivation is stated, so the call stands. A minor wrinkle: the quote is a fragment, but the surrounding passage carries all the elements.
  • Socrates overturn: Read blind, found "straw man". Ananias says Slick's appeal to experience is "not sola scriptura" and so ad hoc and self-contradictory. Slick had never said he allows nothing outside Scripture. At 49:41 he said "I didn't say if it's not in the Bible, it's not true", and at 68:00 he repeated that he checks extra-biblical things against Scripture. Ananias attacked a stronger version of sola scriptura than Slick held, presented it as Slick's view, and drew his charge of self-contradiction from it.
  • Plato uphold: On the record: Fr. Ananias declared at the opening that citing Scripture begs the question until the Protestant justifies his canon and interpretation, and he has held that framework objection throughout; the called line (65:57) applies it against Slick's own sola scriptura and does not depart from it. Slick's premises are on the record: he said he "has to go with scripture" (48:34), and that Scripture alone is inspired. Yet his ground for knowing Scripture is the Spirit's witness in his conversion experience (62:00-64:00). S3 states the derivation: Slick appeals to an extra-biblical principle, experience, to verify Scripture, which his sola scriptura forbids, so he is self-contradictory and cannot bar S3 from appealing to history. The elements are met. Slick answered at 68:00 that he never rejected extra-biblical evidence and only checks it against Scripture. That reply weakens the critique but does not erase it. His rule at 48:34 and his demands at 49:11 and 52:17 that S3 prove everything from Scripture alone do press toward the tension S3 names.
  • Thesmothetes overturn: By the rule: an element of the label is missing from the record. Internal critique needs premises the opponent actually holds. Fr. Ananias says Slick "said you don't allow" extra-scriptural principles. But Slick had already said at 49:41 "I didn't say if it's not in the Bible, it's not true", and he only says he must "go with scripture" as the standard. The premise that Slick bars every extra-biblical ground is not in the record, so the derivation of a contradiction from his own position is missing.
  Judged on 2026-10-12 under rules 8ea237659f20
• Fr. Ananias and Jay Dyer vs Matt Slick: Orthodoxy vs Protestantism Debate at 2:04:56upheld
  The council upheld the call: Fr. Ananias earned 1.2 points.
  homologia (+1.2)
  “And you therefore have to justify your paradigm…”
  Diogenes: S3 asked whether evidence can be approached neutrally without presuppositions and Slick answered "Nobody can", then S3 drew the consequence: "you therefore have to justify your paradigm... That's what the whole debate is about." Slick granted the premise of S3's framework objection and moved to "I will if you can", which is a retreat from his earlier "I don't have to".
  • Aristotle uphold: On the record: Fr. Ananias declared at 06:02 that citing Scripture begs the question until canon and interpretation are justified, and he has held that throughout; the called line draws that consequence from Slick's concession and does not depart from his position. At 124:47 S3 asked whether evidence can be approached neutrally without presuppositions. Slick answered "Nobody can" three times. S3 then said "you therefore have to justify your paradigm... That's what the whole debate is about." Slick granted the premise of the framework objection and so gave up his earlier stance that he did not have to justify his starting point. That is a forced concession. Slick answered with "I will if you can", which shows the point landed. S3 had said what his thesis depends on (justifying first principles) and drew the consequence in his own words right after the concession. That fits the third rung of the ladder, major or flagrant. Slick's reply keeps a counter-demand in play and does not fully give up his position, so I grade it at the middle level.
  • Socrates uphold: Read blind, found "internal critique", on the same ledger as the callout. Ananias gets Slick, a self-described presuppositionalist, to grant that nobody approaches evidence neutrally ("Nobody can"). He then draws the conclusion with "therefore": a paradigm that shapes the evidence needs justifying. Slick had refused that demand all debate, and it follows from a premise he holds. Slick's reply, "I will if you can," half-accepts it.
  • Plato uphold: On the record: Fr. Ananias declared at the opening that citing Scripture begs the question until the Protestant justifies his canon and interpretation, and he has held that framework objection throughout; the called exchange applies it, and Slick's "Nobody can" is a concession to its premise. Ananias asked whether evidence can be approached neutrally, and Slick said "Nobody can" three times. Ananias then drew the consequence: "you therefore have to justify your paradigm... That's what the whole debate is about." Slick answered "I will if you can." That grants the premise of Ananias's framework objection and softens his earlier "I don't have to". The concession is real, and Ananias tied it to the thesis in the same exchange. It was not a ground Slick's thesis stood on, though, and he hedged right away. So it is a 1-point homologia.
  Judged on 2026-10-12 under rules 5daeffc301ee
• Fr. Ananias and Jay Dyer vs Matt Slick: Orthodoxy vs Protestantism Debate at 1:52:47upheld
  The council upheld the call: Fr. Ananias earned 2 points.
  internal critique (+2)
  “So everything that Matt said about scripture, I can apply…”
  Diogenes: Ananias takes Slick's own ground for Scripture (the Spirit's witness and God's providence) and shows it would equally vouch for the councils, so Slick's rejection of the councils cannot rest on it.
  • Aristotle uphold: On the record: Fr. Ananias declared at 06:02 that citing Scripture begs the question until the canon and interpretation are justified, and he has held that throughout; at 112:47 he turns Slick's own ground for Scripture against him, which fits that stance and does not depart from it. All three elements are in the record. Slick's own premises are the Spirit's witness and God's providence (07:40, 13:00, 109:40). Ananias states the derivation: the same method would vouch for the councils (112:33–112:53). Slick rejects that conclusion, and his reply at 113:34 answers only by adding Scripture. Slick never says why the councils differ in the respect that matters, so the critique stands.
  • Socrates uphold: Read blind, found "internal critique". Ananias takes Slick's own ground for Scripture, the Spirit's inner witness and God's sovereign preservation, and shows that it would equally license the councils, so Slick's rejection of the councils cannot rest on that ground. The premises come from Slick's record at 13:04 and 53:32, and the derivation is stated. He also admits the Spirit was not his only ground ("I didn't only"), and this answers the question put to him.
  • Plato uphold: On the record: Fr. Ananias declared at the opening that citing Scripture begs the question until the canon and its interpretation are justified, and he has held that framework objection throughout; the called line applies Slick's own ground for Scripture to the councils and does not depart from that position. The premises are Slick's own: he rests Scripture on God's sovereignty and providence (Ephesians 1:11) and on the Spirit's witness (John 10:27-28). Ananias says the same method would vouch for the councils. This is internal critique. Slick's reply at 113:34 only adds that he also appeals to Scripture. That does not answer the parity. Slick's own distinction, that the councils are not inspired, is not argued from this ground, so it cannot rest on it. Ananias does state the derivation, though briefly.
  Judged on 2026-10-12 under rules 8ea237659f20

All 11 on this ledger